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
- Solve the quadratic equation given below using the inverse of a square function method.
100x²-81=0
 9/10
- 9/10
- -9/10
 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 |