Question

Solve 6x2 -23x +20 = 0 using quadratic formula.Show the steps​

Answer 1

Answer:

x = 5/2 , x = 4/3

Step-by-step explanation:

6x² - 23x +20 = 0

formula for finding roots of a quadratic eqn. is ,

= [-b ± √(b²-4ac)] / 2a

here, from the given equation, we take a=6 , b= -23 , c=20

so the roots = [-(-23) ± √((-23)²- 4*6*20)] / (2*6)

                     = [23 ± √(529- 480)] / 12

                     = [23 ± √49] / 12

                     = [23 ± 7] / 12

                     = 30/12 , 16/12

                     = 5/2 , 4/3

x = 5/2 , x = 4/3