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Given the trinomial 2×2 + 4x + 4, predict the type of solutions.?
The form of the roots of a quadratic expression is identified by the discriminant.
The discriminant of the quadratic ax² + bx + c is:
D = b² – 4ac
If D ≥ 0, there are two real valued roots.
If D = 0, there are two real, equal, rational which are sometimes erroneously interpreted as a single rational root.
If D > 0 and is a perfect square, there are two real, unequal, and rational roots.
If D > 0 and is not a perfect square, there are two real, unequal, and irrational roots.
if D < 0, there are two complex valued solutions which form a complex conjugate pair.
In this case, the quadratic is 2x² + 4x + 4, and the determinate is:
D = 4² – 4(2)(4) = 16 -32 = -16
Since the determinate is less than zero, the form of the roots is a conjugate pair of complex roots or two complex roots.
What is the discriminant of the polynomial below 2×2 plus… – The discriminant is 88 which means that the given quadratic equation has two different solutions for x. The discriminant is 1. What type of polynomial is 2×2 6x plus 4? Trinomial.Online polynomial roots calculator finds the roots of any polynomial and creates a graph of the resulting polynomial. The detailed explanation is provided. This online calculator finds the roots (zeros) of given polynomial. For Polynomials of degree less than 5, the exact value of the roots are returned.If the discriminant of a quadratic equation is 4, which statement describes the roots? B. There are two real roots. Dimitri is solving the equation x2 – 10x = 21. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?
Online Polynomial Roots Calculator that shows work – When the discriminant equals any number more than zero, there will be exactly two solutions. If the number in question that you get as a result is a perfect square in the latter case, the Consider the quadratic equation #x^2 + 4x + 4 = 0#, which, on the left side, is also a perfect square trinomial.Discriminant review. This is the currently selected item. The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.3x^2 − 6x + 5; in the form of ax^2 +bx+c; Discriminant = b^2 -4ac Discriminant =6^2 -4*3*5 = 36 -60 =-24; Negative Discriminant; => You have no real roots. You have 2 complex roots of the form a+i*b; Roots are: Their product is 5/3; Note: 3x^2 − 6…
Algebra 2 – Unit Test Review Flashcards | Quizlet – In mathematics, the discriminant of a polynomial is a quantity that depends on the coefficients and determines various properties of the roots. It is generally defined as a polynomial function of the coefficients of the original polynomial.X2+x+2 is the given equaation Now D=b2-4ac =1-4×1×2 =1-8 =-7. DelcieRiveria DelcieRiveria. Answer: The value of discriminant is -7. ExplanationA discriminant is a value calculated from a quadratic equation. It use it to 'discriminate' between the roots (or solutions) of a quadratic equation. A quadratic equation is one of the form: ax2 + bx + c. The discriminant, D = b2 – 4ac. Note: This is the expression inside the square root of the quadratic…