2x²-5x-12=0 (simplify solution set)

Question

asked Mar 28, 2023 120k views

1 Answer

Stys · Answer 1 · 2023-03-31T22:29:11+0000

Answer:

x = 4 or x = -3/2

Explanation:

To simplify and solve this, let's use the quadratic formula.

So the format of a quadratic equation is supposed look like this:

ax^2+bx+c=0

Let's find a, b, c:

Now let's solve the equation.

Let's solve your equation step-by-step.

2x^2−5x−12=0

For this equation: a=2, b=-5, c=-12

2x^2+−5x+−12=0

Step 1: Use quadratic formula with a=2, b=-5, c=-12.

$x=(-b\pm√(b^2-4ac) )/(2a)$

$x=(-(-5)\pm√((-5)^2-4(2)(-12)) )/(2(2))$

$x=(5\pm√(121) )/(4)$

x=4 or
x=(-3)/(2)

Answer:

x = 4 or x = -3/2