Question

Find the solution by quadratic equation formula : 3x^2-13x-100=0

Answer 1

Given

An Equation

3x²-13x-100=0

To find

The factor by quadratic formula.

Solution

Quadratic formula

$\frac{-b\pm{\sqrt{b^2-4ac}}}{2a}$

Or

$\frac{-b\pm{\sqrt{D}}}{2a}$

Also

D=b²-4ac

So finding discriminant

D=-13²-4×3×-100

=169+1200

putting the value in quadratic formula

$\implies\frac{-b\pm{\sqrt{D}}}{2a}$

$\implies\frac{13\pm{\sqrt{1369}}}{2\times3}$

Taking plus value

X=$\frac{13+37}{6}$

X=$\frac{50}{6}$

Taking negative value

X=$\frac{13-37}{6}$

X=$\frac{-24}{6}$