Math, asked by aayan786786, 10 months ago

x² = 144 = 12*12 explain​

Answers

Answered by Anonymous
2

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

Answered by Anonymous
2

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

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