Quadratic Equations:

Solve for x and give your answers correct two decimal places.

a) 4x^2 - 7x + 2 = 0

b) x^2 - 10x + 6 = 0

c) 5x (x + 2) = 3

a. x = 1.39, 0.36

b. 9.36, 0.54

c. x = 0.26, - 2.26

Step-by-step explanation:

a Using the quadratic formula:-

x = [ - (-7) + / - sqrt ((-7) ^2 - 4*4*2)) / (2*4) ]

= 7 + / - sqrt (17) / 8

= 7/8 + / - sqrt17/8

x = 1.39, 0.36

b) x = - (-10) + / - sqrt (100 - 4*1*6) / 2

= 5 + / - sqrt 76 / 2

= 9.36, 0.54

c) 5x (x + 2) = 3

5x^2 + 10x - 3 = 0

x = [-10 + / - sqrt (4*5*-3) ] / 10

x = 0.26, - 2.26