Question

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solve x^2-6x= -25

Answer 1

x= 3+4i , x= 3-4i

Explanation:

x^2-6x= -25

To solve for x we need to make right hand side

So add 25 on both sides

`x^2-6x+25=0`

Now apply quadratic formula

`x=(-b+-√(b^2-4ac))/(2a)`

From the given equation a=1, b=-6 and c=25

Plug in all the values in the formula

`x=(-(-6)+-√((-6)^2-4(1)(25)))/(2(1))`

`x=(6+-√(-64))/(2)`

We know
`√(-1) =i`

So equation becomes

`x=(6+8i)/(2)`

Divide by 2

x= 3+-4i

So x= 3+4i , x= 3-4i

Answer 2

Answer: x = 3 ± 4i

Explanation:

x² - 6x + 25 = 0

a=1 b= -6 c=25

Use Quadratic Formula:

`x = \frac{-b +/- \sqrt{b^(2)-4ac}}{2a}`

`= \frac{-(-6) +/- \sqrt{(-6)^(2)-4(1)(25)}}{2(1)}`

`= (6 +/- √(36-100))/(2)`

`= (6 +/- √(-64))/(2)`

`= (6 +/- 8i)/(2)`

`= (2(3 +/- 4i))/(2)`

= 3 ± 4i