OR part of Q36: Can any rational value of x make the new area equal to 220 cm^2?... | Case-Study 2m | Maths | SuperPadhai

Quadratic Equations > Question

Case-Study2 marksYear: 2023MediumCBSE Class 10

quadratic-equationscase-studydiscriminant

Question

OR part of Q36: Can any rational value of

x

make the new area equal to

220

cm

^{2}

?

Solution

1

(iii) If

(18 + x) (12 + x) = 220

then

x^{2} + 30 x - 4 = 0

+1 mark

2

Here

D = 900 + 16 = 916

which is not a perfect square.
Thus we can't have any such rational value of

x

.

+1 mark

Practice this question interactively with step-by-step AI feedback

Sign up for SuperPadhai