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NEED HELP ASAP!Noah and Lin are each trying to solve the equation x^2-6x+10=0. They know that the solutions to x^2=-1 are i and -i, but they are not sure how to use this information to solve for x in their equation.Show how Noah can finish his work using complex numbers.

Here is Noah's work:

NEED HELP ASAPNoah and Lin are each trying to solve the equation x26x100 They know that the solutions to x21 are i and i but they are not sure how to use this i class=

Respuesta :

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Let's solve your equation step-by-step.

x2−6x+10=0

For this equation: a=1, b=-6, c=10

1x2+−6x+10=0

Step 1: Use quadratic formula with a=1, b=-6, c=10.

[tex]x= -b[/tex] ± [tex]\sqrt{\frac{b^2 -4ac}{2a}[/tex]

x = −(−6)± [tex]\sqrt{\frac{(-6)^2 -4(1)(10)}{2(1)}[/tex]

x= 6± [tex]\frac{\sqrt{-4} } {2}[/tex]

x = 6± [tex](\sqrt{4})( \sqrt{-1} )[/tex] / 2

x = 6 ±  [tex](\sqrt{4})( i )[/tex] / 2

[tex](\sqrt{4}) = 2[/tex]

6 ± 2i / 2   = 3 ± i

Answer:

Lins

Step-by-step explanation:

Lins took less steps and solving the equation seembes more simple

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