Question

x^2 - 9x - 10 = 0 *
1 point
10 , 1
10 , -1
-10 , 1
1 , -10​

Answer 1

$\star\:\:\:\bf\large\underline\blue{Question:-}$

• Find the roots of the quadratic equation.

$\star\:\:\:\bf\large\underline\blue{Solution:-}$

${x}^{2} - 9x - 10 = 0$

$\implies {x}^{2} - 10x + x - 10 = 0$

$\implies x(x - 10) + 1(x - 10) = 0$

$\implies (x + 1)(x - 10) = 0$

Therefore, either $x+1=0$ or $x-10=0$.

So,

$x + 1 = 0$

$\implies x = - 1$

Also,

$x - 10 = 0$

$\implies x = 10$

$\star\:\:\:\bf\large\underline\blue{Answer:-}$

• The roots of the quadratic equation are -1 and 10.