To find the solutions for the quadratic equation “4x^2 – 5x – 12 = 0,” we will use the quadratic formula, which is given by:
x = (-B ± √(B^2 – 4AC)) / (2A)
In this equation, A = 4, B = -5, and C = -12.
Substituting these values into the formula:
x = (-(-5) ± √((-5)^2 – 4 * 4 * (-12))) / (2 * 4)
Simplifying further:
x = (5 ± √(25 + 192)) / 8
x = (5 ± √217) / 8
So, the solutions for the equation “4x^2 – 5x – 12 = 0” are:
x = (5 – √217) / 8 ≈ -1.216
x = (5 + √217) / 8 ≈ 2.466
These are the solutions for the given quadratic equation.
