Mathematics: What is the answer to -24-1/8p=3/8p ?

What is the answer to -24-1/8p=3/8p ? - id2418383555459, nijanicole164

kamiyaharris1

25.09.2020

"x = 4.38, −0.38"

Step-by-step explanation:

The equation to solve is a quadratic:

$-3(x-2)^{2}+17=0$

We take -17 to the other side and divide by -3 and solve by taking square root and be sure to take + and - solutions:

$-3(x-2)^{2}+17=0\\-3(x-2)^{2}=-17\\(x-2)^{2}=5.67\\x-2=+-\sqrt{5.67} \\x-2=+-2.38\\x=2.38+2=4.38\\x=-2.38+2=-0.38$

Hence, the solutions are x = 4.38 and -0.38

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