Question

Roots of the equation x2 + 4x = 12 are:
B.
2 or 6
-2 or 6​

Answer 1

ANSWER:

Given:

• x² + 4x = 12

To Find:

• Roots of the equation.

Solution:

$\text{We are given that,}\\\\:\longrightarrow x^2+4x=12\\\\\text{Transposing 12 to LHS,}\\\\:\implies x^2+4x-12=0\\\\\text{On splitting the middle term,}\\\\:\implies x^2+6x-2x-12=0\\\\\text{Taking out commons in each pair,}\\\\:\implies x(x+6)-2(x+6)=0\\\\\text{Taking (x+6) common,}\\\\:\implies(x+6)(x-2)=0\\\\\text{For the equation to be true, at least one of the multiples need to be 0.}\\\\\text{So,}\\\\:\implies x+6=0\:\:or\:\:x-2=0\\\\\bf{:\implies x=-6\:\:or\:\:x=2}\\\\\text{\bf{So, the roots of the equation are -6 and 2}}$

Verification:

⇒ x² + 4x = 12

1) For x = -6,

⇒ (-6)² + 4(-6) = 12

⇒ 36 - 24 = 12

⇒ 12 = 12

As, LHS = RHS -------(1)

2) For x = 2,

⇒ (2)² + 4(2) = 12

⇒ 4 + 8 = 12

⇒ 12 = 12

As, LHS = RHS -------(2)

From (1) & (2),

HENCE VERIFIED!!

Answer 2

best answer ke liye refer the attachment.

Agar achha lage to like zarur krna.