Question

2xsquared +3x-20=0 solve using quadratic formula

Answer 1

2x² + 3x - 20 = 0

2x² + 8x - 5x - 20 = 0

2x(x+4) - 5(x+4) = 0

(x+4)(2x-5) = 0

x+4 = 0

x = -4

2x - 5 = 0

2x = 5

x = 5/2

Answer 2

`(5)/(2) ; -4`

Explanation:

2x² + 3x - 20 = 0

a = 2 ; b = 3 ; c = -20

[ -b ± √(b² - 4ac) ] /2a = [-3±√(3²-4*2*-20]/2*2

= [-3±√(9+160)]/4

= [-3±√169 ]/4

= [-3± 13]/4

=
`(-3+13)/(4) ;(-3-13)/(4)\\\\=(10)/(4) ; (-16)/(4)\\\\=(5)/(2) , -4`