2 years ago

Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake.

Mathematics

2 answers:

kolbaska11 [484]2 years ago

3 0

Im taking the test not ill let you know<span />

stealth61 [152]2 years ago

3 0

Do you know what it is? i am currently taking the test. would be a lot of help :)

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Answer:

$x=\frac{1+5i} {2}$ and $x=\frac{1-5i} {2}$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$f(x)=2x^{2} -2x+13$

Equate the function to zero

$2x^{2} -2x+13=0$

$a=2\\b=-2\\c=13$

substitute in the formula

$x=\frac{-(-2)\pm\sqrt{-2^{2}-4(2)(13)}} {2(2)}$

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Remember that

$i=\sqrt{-1}$

$x=\frac{2\pm10i} {4}$

Simplify

$x=\frac{1\pm5i} {2}$

therefore

$x=\frac{1+5i} {2}$ and $x=\frac{1-5i} {2}$

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