Which number line represents all of the values of x for the equation x2 = 64?
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2nd option is correct answer
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The 2nd line will represents the values of x for the equation x²= 64.
Given:
Equation x² = 64
To find:
The number line represents all of the values of x for the equation x²= 64
Solution:
Given equation is x² = 64
As we know 8² = 64 and (-8)² = 64
Given equation can be written as
⇒ x² = (±8)²
Therefore, x values are +8 and -8
Now find on which number line the x value i.e +8 and -8 are represented
On 1st line p represents +8 only
On 3rd line p represents 32 which is not x value
On 4th line p represents 32 and q represents - 32
On 2nd line q represents -8 and q represents +8
Therefore,
The 2nd line will represents the values of x for the equation x²= 64.
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