Question

find the root of the equation x^2+7x+10=0​

Answer 1

Step-by-step explanation:

x^2+7x+10=0

x^2+5x+2x+10=0

x(x+5)+2(x+5)=0

x+2=0,x+5=0

x=-2,x=-5

Answer 2

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Q1) Find the roots of the equation x²+7x+10=0

$\: \: \huge\underline{ \boxed{ \bf \color{green} \: \ddot \smile answer}}$

$\: \\ \twoheadrightarrow \bf{ {x}^{2} + 7x + 10 \: \: \: ........given \: equation}$

$\: \twoheadrightarrow \displaystyle \tt{ {x}^{2} + 5x + 2x + 10 = 0}$

$\: \twoheadrightarrow \displaystyle \tt{x(x + 5) + 2(x + 5) = 0}$

$\: \twoheadrightarrow \displaystyle \tt{(x + 5)(x + 2) = 0}$

$\: \twoheadrightarrow \displaystyle \tt{x = - 5 \: and \: x = - 2 \: }$

$\: \divideontimes \underline{\boxed{ \bf \color{brown} \: the \: roots \: are \: x = - 5 \: and \: - 2}}$