Completing The Square — Unit test Answers

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What are the solution(s) of the quadratic equation 98 – x2 = 0?

x =

x =

x =

no real solution

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What are the solutions of the quadratic equation (x + 3)2 = 49?

x = –2 and x = –16

x = 2 and x =

x = 4 and x = –10

x = 40 and x = –58

If x2 + mx + m is a perfect-square trinomial, which equation must be true?

x2 + mx + m = (x – 1)2

x2 + mx + m = (x + 1)2

x2 + mx + m = (x + 2)2

x2 + mx + m = (x + 4)2

Solve for in the equation .

x = negative 4 plus-or-minus StartRoot 37 EndRoot i

x = –4 ± 5i

x = 4 plus-or-minus StartRoot 37 EndRoot i

x = 4 ± 5i

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