Question

2x²-5x-12=0 (simplify solution set)

Answer 1

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:

• a is the coefficient of x^2
• b is the coefficient of x
• c is the constant term

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