Question

35 = 1/2(x-5)(x-14) what does x equal?

Answer 1

Explanation:

`35 = (1)/(2) (x - 5)(x - 14) \\ \\ \therefore \: 35 * 2 = {x}^(2) - 14x - 5x + 70 \\ \\ \therefore \: 70 = {x}^(2) - 19x + 70 \\ \\ \therefore \: {x}^(2) - 19x + 70 - 70 = 0\\ \\ \therefore \: {x}^(2) - 19x = 0 \\ \\ \therefore \: x({x} - 19) = 0\\ \\ \therefore \:x = 0 \: \: or \: x - 19 = 0 \\ \\ \therefore \:x = 0 \: \: or \: \: x = 19 \\ \\ \therefore \:x = \{0, \: \: 19 \}`