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Question

Solve the quadratic equation 3x2+5x+2=0 using formula method.

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Solution

Given, 3x2+5x+2=0
On comparing this equation with ax2+bx+c=0, we get a=3,b=5 and c=2
Now, b24ac=(5)24×3×2
=25=24
=1
x=b±b24ac2a
==5±12×3
=5±16
x=5+16
x=516
23 and 1 are the roots of the given quadratic equation.

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