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mel-nik [20]
3 years ago
15

X^2 + 32x + 256 = 1please show steps​

Mathematics
1 answer:
Elena L [17]3 years ago
3 0

\boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}

<h2>Explanation:</h2>

In this case, we have the following equation:

x^2+32x+256=1

But we can write this equation as:

x^2+32x+256=1 \\ \\ Subtract \ -1 \ from\ both \ sides: \\ \\ x^2+32x+256-1=1-1 \\ \\ x^2+32x+255=0

So this final result is a quadratic equation written in Standard Form (ax^2+bx+c=0). We need to find the solutions to this equations, so let's use quadratic formula:

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ b=32 \\ c=255 \\ \\ \\ x=\frac{-32 \pm \sqrt{(32)^2-4(1)(255)}}{2(1)} \\ \\ x=\frac{-32 \pm \sqrt{1024-1020}}{2} \\ \\ x=\frac{-32 \pm \sqrt{4}}{2} \\ \\ x=\frac{-32 \pm 2}{2} \\ \\ Finally, \ two \ solutions: \\ \\ \boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}

<h2>Learn more:</h2>

Quadratic Equations: brainly.com/question/10278062

#LearnWithBrainly

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