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)
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)