Solve the quadratic equation: 3x²– 4x – 7 = 0 by using the quadratic formula

The quadratic formula is given by:

x = [-b ± sqrt(b² - 4ac)] / (2a)

In the given quadratic equation 3x²– 4x – 7 = 0, the coefficients are:

a = 3 b = -4 c = -7

Substitute these values into the quadratic formula:

x = [4 ± sqrt((-4)² - 43(-7))] / (2*3) x = [4 ± sqrt(16 + 84)] / 6 x = [4 ± sqrt(100)] / 6 x = [4 ± 10] / 6

This gives the two solutions:

x = (4 + 10) / 6 = 14 / 6 = 7/3 x = (4 - 10) / 6 = -6 / 6 = -1

So, the solutions to the equation 3x²– 4x – 7 = 0 are x = 7/3 and x = -1.