Solve: 4x ^ 2 - 5x - 12 = 0
The given 4x ^ 2 - 5x - 12 = 0 is a quadratic equation. We will solve it one by one.
Generally, there are many mathematics formulae used in solving equations. You need to memorize each.
In 4x ^ 2 - 5x - 12 = 0
The first term is, 4x2 its coefficient is 4 .
The middle term is, -5x its coefficient is 5 .
The last term, "the constant", is +12
Let’s get started champs.
To solve it, we will have to use the quadratic formula. Let’s simplify the equation:
-b±b2-4ac2a
Here In 4x2-5x-12=0
a = 4, b= -5, c= -12
Now, put the values in the formula given above. With that we will get:
x = (-(-5) ± √(25 + 192)) (2 * 4)
Simplify the expression inside the square root:
=√(25 + 192)
=√217
Therefore, the two solutions for x are:
x = (--5+ 217)) 8≈ 2.32
x = (--5+ 217)) 8≈ ≈ -1.32
The solutions to the equation 4x^2 - 5x - 12 = 0 are approximately x ≈ 2.32 and x ≈ -1.32.
