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Using the quadratic formula to solve 7x2 – x = 7, what are the values of x?

source : wyzant.com

Using the quadratic formula to solve 7×2 – x = 7, what are the values of x?

Katie L.

asked • 11/06/18

a)

b)

c)

d)

1 Expert Answer

By:

Ty D.
answered • 11/06/18

Tutor

New to Wyzant

Educator with 10+ years of Collegiate and K-12 experience

7×2 – x – 7 = 0

a = 7, b = -1, c = -7

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Solve Using the Quadratic Formula x^2-x-7=0 | Mathway

Solve Using the Quadratic Formula x^2-x-7=0 | Mathway – Use the quadratic formula to find the solutions. Substitute the values. into the quadratic formula and solve for.EXAMPLE. Using the Quadratic Formula (Rational Solutions). This equation is in standard form, so we identify the values of a, b, and c. Here a, the coefficient of the second-degree term, is 6, and b, the coefficient of the first- degree term, is − 5. The constant c is − 4. Now substitute into the quadratic…Learn how to solve quadratic equations using the quadratic formula. Thus, to solve a quadratic equation using the quadratic formula, first identify the 'a', 'b' and the 'c' of the quadratic Algebra 2 Introduction, Basic Review, Factoring, Slope, Absolute Value, Linear, Quadratic Equations.

Solved: Use the quadratic formula to solve the equation. | Chegg.com – Solve quadratic equations by factorising, using formulae and completing the square. Using the quadratic formula is another method of solving quadratic equations that will not factorise. Substitute these values into the quadratic formulaTherefore in this equation: #a=1# #b=7# #c=7#. Quadratic formula: #x=(-b+-sqrt(b^2-4ac))/(2a)#. Plug in givens and solve: #x=(-7+-sqrt What is the lewis structure for hcn? How is vsepr used to classify molecules? What are the units used for the ideal gas law?Rewrite the quadratic in standard form using h and k. Example 9: Solving a Quadratic Equation with the Quadratic Formula. Because the square root does not simplify nicely, we can use a calculator to approximate the values of the solutions.

Solved: Use the quadratic formula to solve the equation. | Chegg.com

Solve by using the quadratic formula – YouTube – Here are the steps required to solve a quadratic using the quadratic formula Step 1: To use the quadratic formula, the equation must be equal to zero, so move the -5 back to the left hand side. Step 2: Identify a, b, and c and plug them into the quadratic formula.Answer provided by our tutors. 7x² – x = 7. . click here to see the equation solved for x.Solve quadratic equations using a quadratic formula calculator. Calculator solution will show work for real and complex roots. Uses the quadratic formula to solve a second-order polynomial equation or quadratic equation. Shows work by example of the entered equation to find the real or complex root…

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Ex 2: Quadratic Equation App – Find the Dimensions of a Rectangle Given Area (Factoring) – – [Voiceover] The length of a
rectangle is three inches more than its width.
Its area is 130 square inches. Find the width and the
length of the rectangle. So using this rectangle here, because the length is the longer side, it is three inches more than the width, we'll let the width be equal to x. And therefore the length would
be equal to x plus three. We also know the area is
equal to 130 square inches. And now using the area
formula for a rectangle, we can set up an equation and solve for x, then determine the length and the width. The Area of a Rectangle is
equal to length times width. So we'll substitute 130 for the area. And for the length times
the width we'd have the quantity x plus three, times x. Or if we want we could write this as x times the quantity x plus three. Let's go ahead and change the
order of this multiplication. So 130 equals x times the
quantity x plus three. Now we want to solve this equation for x. So let's clear the parentheses
by distributing here. So 130 is equal to x squared plus three x. Because we have a quadratic equation, let's set it equal to zero and see if we can solve by factoring. So we'll subtract 130 on both sides. 130 minus 130 is zero, so we have zero equals x squared, plus three x, minus 130. And now if this does factor, it'll factor into two binomial factors. Because the first term is x squared, and x times x equals x squared, we'll have a factor of x here and here, in the first positions
of the binomial factors. Because the leading coefficient is one, the terms in the second
positions would be the factors of negative 130, that
add to positive three. And because 10 times 13 equals 130, and we're looking for two factors that give us a product of negative 130, and add to positive three, we can use the factors of positive 13 and negative 10. So for positive 13, we write plus 13 here. For negative 10, we write minus 10 here. Again, 13 times negative
10 equals negative 130. And 13 plus negative 10
equals positive three. So this is now factored, and because this product is equal to zero, x plus 13 must be zero, or x minus 10 must equal zero. Solving for x here, we
subtract 13 on both sides, x equals negative 13. Or, solving for x here,
we add 10 to both sides, x equals positive 10. Remember, x and x plus
three represent a length, which must be positive. So even though x equals negative
13 is an algebraic solution to our equation, it's not a solution to
this application problem. So we can eliminate x equals negative 13. And our solution is x equals 10. So if x equals 10, and the
length is x plus three, the length would be 10 plus
three, which equals 13. So this length is 13 inches. We don't include the
units here in our answer. We just enter 13. And the width is x, and
we know x equals 10, so the width is 10 inches, so we enter 10. The area of a 10 by 13 rectangle, would be 10 times 13, which
equals 130 square inches. And notice how with these dimensions, the length is three inches
more than the width. I hope you found this helpful. .

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