Question

X2+8x-48=0 solve these equation by completing the square

Answer 1

$\huge\tt\red{\underline{Answer}:}$

${x}^{2} + 8x - 48 = 0 \\ = > {x}^{2} + 12x - 4x - 48 = 0 \\ = > x(x + 12) - 4(x + 12) = 0 \\ = > (x + 12)(x - 4) = 0$

Either,

$(x + 12) = 0 \\ = > x = - 12$

Or,

$(x - 4) = 0 \\ = > x = 4$

Answer 2

Let's solve your equation step-by-step

$x^{2}+8x-48=0$

Step 1: Factor left side of the equation.

$(x-4)(x+12)=0$

Step 2: Set factors equal to 0.

$x-4=0\ or \ x-12=0$

$x=4 \ or \ x=-12$

Verification

If $x=4$ -:

$4^{2}+(8\times4)-48$

$16+32-48$

$48-48$

$0$

If $x=-12$ -:

$-12^{2}+(8\times -12)-48$

$144-96-48$

$144-144$

$0$

∴ $x=4 \ or \ x=-12$ in the equation ⇒ $x^{2}+8x-48=0$

Additional Information ❤

What is an equation?

A mathematical statement that tells us two things are equal is known as an equation. An equation consists of an equal sign.

What are the parts of equation?

An equation consists of a variable, constants and coefficient.

What is a Polynomial?

A Polynomial consists of variables, constants and an exponent.

What are Monomial, Binomial and Trinomial?

Monomial has 1 term. Binomial has 2 terms. Trinomial has 3 terms.

What are like terms?

When the variables are the same in an expression or equation they are known as like terms.