x² = 144 = 12*12 explain
Answers
Answer:
The given equation, x^2 = 144, is a quadratic equation in one variable, x. Remember that a quadratic equation is an equation in which the highest power or exponent of the variable(s) is to the second power, but to no higher power; therefore, unlike linear equations, there will be two (2) solutions, i.e, two values of the unknown, x, which make the equation a true statement.
With this type of quadratic equation in which there is only the x^2 - term and the constant term and no x-term, we can easily solve it for the unknown, x, by taking the square root of both sides:
x^2 = 144 (Given)
Now, taking the square root of both sides, we get:
√x^2 = ±√144
x = ±12
CHECK:
x^2 = 144
12^2 = 144
(12)(12) = 144
144 = 144
x^2 = 144
(-12)^2 = 144
(-12)(-12) = 144
144 = 144
Therefore, the two solutions to the given quadratic equation are indeed:
x = 12 and ...
x = -12
Step-by-step explanation:
x^2 = 144 (Given)
Now, taking the square root of both sides, we get:
√x^2 = ±√144
x = ±12
CHECK:
x^2 = 144
12^2 = 144
(12)(12) = 144
144 = 144
x^2 = 144
(-12)^2 = 144
(-12)(-12) = 144
144 = 144
Therefore, the two solutions to the given quadratic equation are indeed:
x = 12 and ...
x = -12