Question

Solve each of the following quadratic equations.

a. x^2-8x+ 15 = 0

b. 2x^2 - 5x - 6 =0​

Answer 1

`a. \: \: x = 3 \: \: and \: 5`

`b. \: \: x = (5± √(73) )/(4)`

Explanation:

`a. \: \: \: x^2-8x+ 15 = 0 \\ {x}^(2) - 5x - 3x + 15 = 0 \\ x(x - 5) - 3(x - 5) = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: and \: 5`

`b. \: \: 2x^2 - 5x - 6 =0 \\ x = (5± √(73) )/(4)`

Hope it is helpful....