Using Quadratic Formula to solve Quadratic Equations
Ncert Solutions Chapter 4 Quadratic Equations Exercise 4.3 Q7 Download this solution
7. The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.
Solution:
Let smaller number =
Let larger number =
We are given that
—– (1)
Also, we are given that square of smaller number is 8 times the larger number.
—–(2)
Putting equation (2) in (1), we get
Comparing equation
with general form
, we get
and
.
Using quadratic formula
, we get
Using equation (2) to find smaller number:
And,
{No real solution for x}
Therefore two numbers are
or
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