The values of x are 1 and 8.
How to solve quadratic equation.
Given that
x² - 9x + 8 = 0
Let's factorize the quadratic equation
Find 2 numbers whose product is 8(the constant number in the equation) and whose sum is -9(the coefficient of x in the equation)
so, let's consider
-1 and -8
product = -1 * -8 = 8
sum = -1 + (-8) = -1 - 8 = -9
x² -9x + 8 = 0
Split the coefficient of x
x² - x - 8x +8 = 0
Factorize
x(x - 1) -8(x -1) = 0
(x - 8)(x - 1) = 0
Equate each expression to zero
x - 8 = 0 or x - 1 = 0
x = 8 or x = 1
Therefore, the values of x are 1 and 8.
Complete question