Question

solve x^2+5x+6=0 using quadratic formula​

Answer 1

Step-by-step explanation:

x²+5x+6=0

x²+2x+3x+6=0

x(x+2)+3(x+2)=0

(x+3)=0 (x+2)=0

x=-3 & x=-2

I hope it will help u

Answer 2

$\large\underline\mathfrak\red{Given \: Equation \: :- }$

$\sf→{x²+5x+6=0}$

According to the quadratic formula

$\sf\implies{x {}^{2} + 5x + 6 = 0 }$

$\sf\implies{x {}^{2} + 3x + 2x + 6 = 0 }$

$\sf\implies(\because{3x + 2x = 5x \: and \: 2 \times 3 = 6)}$

$\sf\implies{x(x + 3) + 2(x + 3) = 0}$

$\sf\implies{(x + 3)(x + 2) = 0}$

$\sf\implies{x + 3 = 0 \: \: and \: \: x + 2 = 0}$

$\sf\implies{x = - 3 \: \: \: or \: \: \: x = - 2}$

Required answer :

${\large{\underline{\boxed{\sf{\red{x = -3}}}}}}$

${\large{\underline{\boxed{\sf{\red{x = -2}}}}}}$

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Some information about quadratic equation :

In algebra, a quadratic equation is any equation that can be rearranged in standard form as ax²+bx+c=0 where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no ax^2 term.

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