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Solve the equation 2x^(2)+ 5x-12=0...

Solve the equation `2x^(2)+ 5x-12=0`

A

x = 3 2 , − 4

B

x= (3)/(2), -4`

C

x= (3)/(2), -5`

D

x= (3)/(2), 8`

Text Solution

Verified by Experts

The correct Answer is:
B
By comparision with the standard quadratic equation `" "a=2, b=5 and c=-12`
`x= (-5pm sqrt((5)^(2)-4xx2xx(-12)))/(2xx2)=(-5pm sqrt(121))/(4) = (-5 pm 11)/(4) = (+6)/(4), (-16)/(4) or x= (3)/(2), -4`
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