The equation (x^{2} - hx - 21 = 0,x^{2} - 3hx + 35 = 0) has.... | MATH - SOLUTION OF QUADRATIC EQUATIONS AND NATURE OF ROOTS | SolveeIt

The equation $x^{2} - hx - 21 = 0,x^{2} - 3hx + 35 = 0$ has.

No solution

One solution

Two solutions

Given $ax^{2} + bx + c = 0$

Squaring both sides, we get $a = b = 0,c \in R$

Squaring again, we get $a = c = 0,b \in R$ which does not satisfy the given equation. Hence equation has no solution.

Question: The equation \(x^{2} - hx - 21 = 0,x^{2} - 3hx + 35 = 0\) has....