Question

When you solve x^2 - 8x + 7 = 0 what is the last step of the equation

before you simplify to get the two answers? *
O x = -4 13
O x = 3 + 4
O x = 4 + 3

Answer 1

x = 1 and x = 7

Explanation:

The given equation is
`x^2 - 8x + 7 = 0`.

We need to solve the equation.

It is a quadratic equation whose solution is given by :

`x=(-b\pm √(b^2-4ac) )/(2a)`

Here, a = 1, b = -8 and c = 7

Put values,

`x=(-(-8)\pm √((-8)^2-4(1)(7)) )/(2(1))\\\\=(8\pm √(64-28))/(2)\\\\=(8\pm 6)/(2)\\\\=(8+6)/(2),(8-6)/(2)\\\\=7,1`

So, the values of x are x = 1 and x = 7.