Question

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:

Answer 1

Answer:

Lins

Step-by-step explanation:

Lins took less steps and solving the equation seembes more simple

Answer 2

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.

$x= -b$ ± $\sqrt{\frac{b^2 -4ac}{2a}$

x = −(−6)± $\sqrt{\frac{(-6)^2 -4(1)(10)}{2(1)}$

x= 6± $\frac{\sqrt{-4} } {2}$

x = 6± $(\sqrt{4})( \sqrt{-1} )$ / 2

x = 6 ±  $(\sqrt{4})( i )$ / 2

$(\sqrt{4}) = 2$

6 ± 2i / 2   = 3 ± i