Question

The solution set of the quadratic equation $x^2-2x-35=0\text{is :}$

[ 1 Mark]

• A. {7, -5}
• B. {7, 5}
• C. {-7, 5}
• D. {-7, -5}

Answer 1

The correct option is A {7, -5}

$\text{Given,}$
$\text{Quadratic equation,}{x}^2-2x-35=0$
$\Rightarrow x^2-2x-35=0$
$\Rightarrow x^2+5x-7x-35=0$
$\Rightarrow x(x+5)-7(x+5)=0$
$\Rightarrow (x+5)(x-7)=0$
$\Rightarrow x=-5,x=7$
$\therefore \text{Solution set}=\left\{7,-5\right\}$