Question

Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply.

x = –4
x = –3
x = StartFraction negative 3 Over 2 EndFraction
x = StartFraction 2 Over 3 EndFraction
x = 2
x = 4

Answer 1

Explanation:

X = -3/2, X = 4

Answer 2

{-3/2, 4}

Explanation:

Use synthetic division here. If the remainder is 0, then the divisor is a root or solution.

Here we have x = -4. Perform the synthetic division as follows:

-4 4 -10 -24

-16 108

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4 -26 84 The remainder is 84, which tells us -4 is NOT

a root/solution.

Try -3/2 as divisor this time:

-3/2 4 -10 -24

-6 24

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4 -16 0 Remainder is 0, so -3/2 is a solution

Show in the same manner that 4 is a solution also. Or determine whether x - 4 satisfies 4x - 16 = 0 (it does).