Solve the equation x2 = 81 by finding square roots.
*NOTE: Applicable to this and all other questions--For any solution that involves two answers, type one answer separated by a comma and then the other answer
Take the square root as the problem suggests. x = 9,-9
To solve the equation x^2 = 81 by finding square roots, we need to find the square root of both sides of the equation.
Taking the square root of both sides, we have:
√(x^2) = √81
The square root of x^2 is simply x, and the square root of 81 is 9, as 9 * 9 = 81.
So, we have:
x = 9
x = -9
Therefore, the solutions are:
x = 9, -9
To solve the equation x^2 = 81 by finding square roots, we need to isolate x on one side of the equation.
Start by taking the square root of both sides of the equation:
√(x^2) = √81
The square root of x^2 is simply x, and the square root of 81 is 9, since 9 * 9 = 81. Therefore, we have:
x = 9
However, we also need to consider the negative square root, as squaring a negative number also yields the same result. So the other solution is:
x = -9
Thus, the equation x^2 = 81 has two solutions: x = 9 and x = -9.