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## complex numbers – What is the solution to the equation below?

Multiplying both sides by $(x+9)^2$ yields

$$(x^2+18x+162)x^2=40(x^2+18x+81)$$

which is equivalent to

$$x^4+18x^3+122x^2-720x-3240=0$$

Factorization gives

$$x^4+18x^3+122x^2-720x-3240=(x^2+20x+180)(x^2-2x-18)$$

Which has roots, given by the quadratic formula,

$1+\sqrt{19},1-\sqrt{19},-10+i\sqrt{80},-10-i\sqrt{80}$$

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What is the solution to the equation below? | Yahoo Answers – What does the solution of this system indicate about the questions on the test? The test contains 10 three-point questions and 14 five-point questions. Ernesto tried to determine the solution for the system of equations using substitution. His work is shown below. x – y = 7 3x – 2y = 8 Step 1: x = y…And solution to the equation is finding the value of the variable. That's an extraneous solution. You need to check for these when algebraically solving equations, especially when you take both sides of an equation to a power.There can be zero solutions, 1 solution or infinite solutions–each case is explained in detail below. Note: Although systems of linear equations can have 3 or more equations,we are going to refer to the most common case–a stem with exactly 2 lines.

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