Question : If $4 x^{2} = 15^{2} - 9^{2}$ , then the value of $x$ is:
Option 1: 9
Option 2: 6
Option 3: 3
Option 4: 12

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Question : If $4 x - 7 y = 3$ and $2 x - y = 9$ , then the value of $(x - y)$ is:
Option 1: 3
Option 2: 4
Option 3: 5
Option 4: 6

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Answer 1

Correct Answer: 6

Solution : Given: $4 x^{2} = 15^{2} - 9^{2}$
According to the formula of $a^{2} - b^{2} = (a - b) (a + b)$ ,
⇒ $4 x^{2} = (15 - 9) (15 + 9)$
⇒ $4 x^{2} = 6 \times 24$
⇒ $x^{2} = 6 \times 6$
⇒ $x = \sqrt{36}$
⇒ $x = 6$
Hence, the correct answer is 6.

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Question : If 4x2=152–92, then the value of x is:Option 1: 9Option 2: 6Option 3: 3Option 4: 12

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Question : If $4 x^{2} = 15^{2} - 9^{2}$ , then the value of $x$ is:
Option 1: 9
Option 2: 6
Option 3: 3
Option 4: 12