Question

it 5x² + 8x +4=2x²+ 4x+ 6,then find the nature of the quation

Answer 1

$3x {}^{2} - 4x - 2 = 0$

it is a quadratic equation

discriminant=16-(-24)=40>0

si it has two real and distinct roots.

Answer 2

$5 {x}^{2} + 8x + 4 = 2 {x}^{2} + 4x + 6 \\ = > 3 {x}^{2} + 4x - 2$

According to : $\sf{b^{2} - 4ac}$

We find : $\sf{b^{2} - 4ac = 40}$

Thus, the nature of roots is real and distinct roots.