Solve the following problems using the quadratic formula 6x2

Solve the following problems using the quadratic formula. 6x^2 - 11x = 35 3x^2 - 5x - 7 = 0 5. -x^2 + 8x = 10 x^2 - 4x + 8 = 0 -x^2 + 5x - 2 = 0 52.2x^2 - 26.37x - 15.3 = 0 -5x^2 + 10x - 5 = 0 3x^2 - 6x = -3

Solution

for ax^2 +bx +c =0

formula for root : x = (-b +/- sqrt(b^2 -4ac)/2a

we would use the above formula for all parts:

1. 6x^2 -11x -35 =0

x = ( 11 +/- sqrt(11^2 +4*35*6)/12

x = 3.5 , -1.67

2.    52.2x^2 - 26.37x -15.3 =0

x = ( 26.37 +/- sqrt( 26.37^2 +4*15.3*52.2) )/(2*52.2)

= 0.85 , -0.34

3. 3x^2 -5x -7 =0

x = (5 +/- sqrt(25 +4*7*3))/6

= ( 5 +/- 10.44)/6

=2.57 , 0.9

4.   16x^2 - 10.3x -2 =0

x = ( 10.3 +/- sqrt(10.3^2 +2*4*16) )/32

x =0.8 , -0.156

5.   -x^2 +8x -10 =0

x = ( -8 +/- sqrt(8^2 - 4*10) )/-2

x = 1.55 , 6.45