RayleeG624292 RayleeG624292
  • 26-10-2022
  • Mathematics
contestada

Detemine which equation has the same solutions as the equation below.4X² + 32X - 28 = 0A. (X+4)²=23B. 4(X+4)²=36C. (X+8)²=57D. 4(X+8)²=28

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EstibenM254786 EstibenM254786
  • 26-10-2022

Given:

The equation is

[tex]4X^2+32X-28=0[/tex]

Required:

Determine which equation has the same solutions as the equation below.

Explanation:

We have

[tex]\begin{gathered} 4X^2+32X-28=0 \\ \text{ We can write it as} \\ X^2+8X-7=0 \\ X^2+2\times4\times X-7+16=16 \\ X^2+2\times4\times X+16=23 \\ (X+4)^2=23 \end{gathered}[/tex]

Answer:

Option A is correct.

Answer Link

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