Question

1. Find the roots of the quadratic equation if it exist using the quadratic formula: x²-3x-10 = 0​

Answer 1

$\huge\underline{\underline{\maltese\:\:\textbf{\textsf{Answer}}}}$

The equation x²-3x-10 = 0 can be solved as:-

$\red\dashrightarrow\sf{ {x}^{2} - 5x + 2x - 10 = 0}$

$\red\dashrightarrow\sf{x(x - 5) + 2(x - 5) = 0}$

$\red\dashrightarrow\sf{(x + 2)(x - 5) = 0}$

$\red\dashrightarrow\sf{x = - 2andx = 5}$

Answer 2

$\huge\sf{\underline{\underline{\maltese{\red{Solution}}}}}$

$\purple\rightarrow\sf{\large {x}^{2} - 3x - 10 = 0}$

$\purple\rightarrow\sf{\large {x}^{2} - 5x + 2x - 10 = 0}$

$\purple\rightarrow\sf{\large \: x(x - 5) + 2(x - 5 = 0}$

$\purple\rightarrow\sf{\large \: (x + 2)(x - 5) = 0}$

$\purple\rightarrow\sf{\large \: x = - 2 \: and \: x = 5}$