Solve the quadratic equation X^2=25 X^2=30?

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Mark Mottian Profile
Mark Mottian answered
X2 = 25  (your statement)
x2 - 25 = 25 - 25  (subtract 25 from both sides)
x2 - 25 = 0  (collect terms)
(x + 5)(x - 5) = 0  (factor)

From the above we can deduce that ±5 are real solutions.
Likewise, we can eliminate the exponent by taking the square root of both sides:

X2 = 25  (your statement)
√x2 = √25  (take thr square root)
x = ±5 ______ x2 = 30  (your statement)
√x2 = √30  (eliminate the exponent by taking the square root of both sides)
x = ±(√30)

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