The numerical difference of the roots of x2 – 7x – 9 = 0 is... | MATH - SOLUTION OF QUADRATIC EQUATIONS AND NATURE OF ROOTS | SolveeIt | Solveeit

Today, August 24

Question

The numerical difference of the roots of x² – 7x – 9 = 0 is –

A

5

B

$2\sqrt{85}$

C

$9\sqrt{17}$

D

$\sqrt{85}$

Answer

$\sqrt{85}$

Explanation

Solution

a – b = $\frac{\sqrt{D}}{a}$ = $\frac{\sqrt{49 + 36}}{1}$ = $\sqrt{85}$