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AP TET Paper 1 Model Test 2

Question : 96 of 150

Marks: +1, -0

\sqrt{14.44}+\sqrt{(9+x^{2})}

= 8.8, then find the value of x.

Solution:

Concept:

Solve the equation by isolating the square root term and then squaring both sides.

Explanation:

First, compute

\sqrt{14.44} = 3.8

. The equation becomes

3.8 + \sqrt{9+x^{2}} = 8.8

Subtract

3.8

from both sides:

\sqrt{9+x^{2}} = 5

Square both sides:

9 + x^{2} = 25

Subtract

9

x^{2} = 16

Take the square root:

x = 4

(positive value, matching the options).

Answer:

x = 4 (Option B).

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