Question

Construct the quadratic equation whose roots are (i) 4, -3 (ii) both equal to 5 .

Quadratic Equations.​

Answer 1

Step-by-step explanation:

given,

$\alpha = 4 \\ \beta = - 3 \\ \ formula \: for \: forming \: quadratic \: equations \: is \\ (x {}^{2} - ( \alpha + \beta )x + \alpha \beta ) \\ substitute \: this \: formula \: \\ x {}^{2} - (4 + ( - 3))x + 4( - 3) \\ = x {}^{2} - 1x - 12 \\ = x {}^{2} - x - 12 \\ this \: your \: required \: quadratic \: equation$