Question

9. Find the roots of the quadratic equation 3x² – 5x – 2 = 0 by quadratic formula.​

Answer 1

Answer:

Given, 3x2+5x+2=0

On comparing this equation with ax2+bx+c=0, we get a=3,b=5 and c=2

Now, b2−4ac=(5)2−4×3×2

=25=24

=1

x=2a−b±b2−4ac

==2×3−5±1

=6−5±1

x=6−5+1

x=6−5−1

∴ 3−2 and −1 are the roots of the given quadratic equation.

Answer 2

Answer:

Given, 3x2+5x+2=0

On comparing this equation with ax2+bx+c=0, we get a=3,b=5 and c=2

Now, b2−4ac=(5)2−4×3×2

=25=24

=1

x=2a−b±b2−4ac

==2×3−5±1

=6−5±1

x=6−5+1

x=6−5−1

∴ 3−2 and −1 are the roots of the given quadratic equation.