Inverse square functions are the inverse of the square functions, i.e. if we find the inverse of a square function then it is the inverse square function.

Example : 1

Y = x²

Solution :

Taking under the root of both the sides, we get

X = ±√y

Changing x and y

Y = ±√x

This is the inverse square function of the above function.

We can use the inverse square functions to solve the quadratic equations.

Example : 2

Solve the following quadratic equation using inverse square functions.

X² - 9=0

Solution :

Add 9 to both sides:

X²- 9 + 9 = 9

X²= 9

X = ±√9

X = ±3

Hence, x=3 or -3.

So we can solve a quadratic equation by this technique.

Try these problems

1. Solve the quadratic equation given below using the inverse of a square function method.
   100x²-81=0
   1.   9/10
   2. 9/10
   3. -9/10
   4.   8/10

Answer: 1

Explanation:

100x²-81=0

Add 81 to both sides:

100 x² = 81

Divide by 100:

X² = 81/100

X= ±9/10