Question

2 x square minus 2 is equal to 3 X solve using formula method

Answer 1

$2 {x}^{2} - 2 = 3x \\ 2 {x}^{2} - 3x - 2 = 0 \\ a = 2.........b = - 3........c = - 2 \\ x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{3 + - \sqrt{9 + 16} }{4} \\x = \frac{3 + - \sqrt{25} }{4} \\ x = \frac{3 + 5}{4} \: \: or \: \: \: \frac{3 - 5}{4} \\ x = 2 \: \: or \: \: - \frac{1}{2}$

Answer 2

Answer:

x = 2 or -1/2

Step-by-step explanation:

F(x) = 2 x² - 2 = 3 x

F(x) = 2 x² - 3 x - 2 = 0

formula method

2 x² - 4 x + x - 2 = 0

2 x( x - 2) + 1 (x - 2) = 0

( 2 x + 1) * (x-2) = 0

Product of the number is zero implies that one of the number must be zero

2 x + 1 = 0

x = - 1/2

or x-2 = 0

x = 2

x = 2 or -1/2