Question

10.Find the roots of the quadratic equation x2 + 7x +12 =0.​

Answer 1

Answer:

$\mathtt{SOLUTION:-}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\implies \bold \blue{ {x}^{2} + 7x + 12 = 0}$

$\implies \bold \blue{ {x}^{2} + 4x + 3x + 12 = 0}$

$\implies \bold \blue{ {x}(x + 4 )+ 3(x + 4) = 0}$

$\implies \bold \blue{(x + 3)(x + 4) = 0}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt{NOW \: FIND \: ZEROS \ROOTS \: OF \: THE \: QUADRATIC \: EQUATION}$

$\implies \bold \blue{x + 3 = 0}$

$\implies \bold \blue{x = 0 - 3}$

$\implies \bold {x = - 3}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\implies \bold \blue{x + 4 = 0}$

$\implies \bold \blue{x = 0 - 4}$

$\implies \bold {x = - 4}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt{ ZEROS\ROOTS \: OF \: THE \: QUADRATIC \: EQUATION \: ARE \: -3 \: AND \: -4}$