Question

2x squared + 13x - 24 =0

Answer 1

Answer:  (2x - 3)(x + 8)

Step-by-step explanation:

2x² + 13x - 24 = 0, where is equal ax² + bx + c = 0 form. We get a = 2, b = 13, c = -24.

When a is not equal to 1, we multiply a and c. ac = 2(-24) = -48.

b in the equations means that the sum of two factor of ac is equal to 13. Then we need to find which two factor is add up to 13. In this case, we get -3 and 16.

2x² + 13x - 24 = 0

2x² + 16x - 3x - 24 = 0

2x(x + 8) - 3(x + 8) = 0

(2x - 3)(x + 8) = 0

Answer 2

Answer: x = -8, x = $\frac{3}{2}$

Step-by-step explanation:

       This is a quadratic equation since it is in ax² + bx + c = 0 form! We will use the formula and use PEMDAS, the order of operations, while solving as well.

       The quadradic formula, then plugging in to solve:

(please note before the square root is a ± sign. Brainly text editor will not allow me to add it)

$x = \frac{-b\sqrt{b^{2} -4ac } }{2a}$

$x = \frac{-13\sqrt{13^{2} -4(2)(-24) } }{2(2)}$

$x = \frac{-13\sqrt{169 -4(2)(-24) } }{4}$

$x = \frac{-13\sqrt{169 +192 } }{4}$

$x = \frac{-13\sqrt{361 } }{4}$

Now it breaks into two parts:

$x = \frac{-13-19}{4}$       and       $x = \frac{-13+19}{4}$

$x = \frac{-32 }{4}$                  $x = \frac{6}{4}$

x = -8, x = $\frac{3}{2}$