Given, the equation is (x+1)2=4. Step 1: Multiply both the sides by 2 (x+1)2×2=4×2 ⇒ (x+1)=8 Step 2: Subtract both sides of the equation by 1 to nbsp;elimin ...

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Standard VI

Mathematics

Solving Equations of the form (ax±b)/c=d

Solve for x:x...

Question

Solve for $x :$
$\frac{(x + 1)}{2} = 4$

x = 7

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x = 8

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x = 1

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x = 3

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Solution

The correct option is A $x = 7$
Given, the equation is $\frac{(x + 1)}{2} = 4.$

Step 1: Multiply both the sides by 2
$\frac{(x + 1)}{2} \times 2 = 4 \times 2$
$\Rightarrow (x + 1) = 8$

Step 2: Subtract both sides of the equation by 1 to eliminate 1 on the left side of the equation.
$\Rightarrow x + 1 - 1 = 8 - 1 \Rightarrow x = 7$

Hence, solution of the equation $\frac{(x + 1)}{2} = 4$ is $x = 7.$

Suggest Corrections

Solve for x: (x+1)2=4

The correct option is A x=7Given, the equation is (x+1)2=4. Step 1: Multiply both the sides by 2 (x+1)2×2=4×2 ⇒(x+1)=8 Step 2: Subtract both sides of the equation by 1 to eliminate 1 on the left side of the equation. ⇒x+1−1=8−1⇒x=7 Hence, solution of the equation (x+1)2=4 is x=7.

Solve for $x :$
$\frac{(x + 1)}{2} = 4$