Question

X^2+7x+12=0 Algebraic proofs Solve each equation, write a reason for every step.

Answer 1

Answer:

x = -3, or x  = -4 is the solution for the given algebraic expression $x^{2} + 7x + 12 = 0$

Step-by-step explanation:

Here, the given algebraic equation is:

$x^{2} + 7x + 12 = 0$

Now, solving this expression by splitting the middle term, we get

$x^{2} + 7x + 12 = 0 \implies x^{2} + 3x + 4x + 12 = 0$

⇒ x ( x+3) + x (x+3) = 0

⇒(x+3) (x+4) = 0

⇒ either (x+3) = 0, or (x+4) = 0

Hence, either x = - 3, or x  = - 4

Hence, x = -3, or x  = -4 is the solution for the given algebraic expression $x^{2} + 7x + 12 = 0$