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

Lins

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{(b^2 -4ac)/(2a)`

x = −(−6)±
`\sqrt{((-6)^2 -4(1)(10))/(2(1))`

x= 6±
`\frac{√(-4) } {2}`

x = 6±
`(√(4))( √(-1) )` / 2

x = 6 ±
`(√(4))( i )` / 2

`(√(4)) = 2`

6 ± 2i / 2 = 3 ± i