Complex Numbers And Quadratic Equations question 734
Question: If $ \sqrt{3x^{2}-7x-30}+\sqrt{2x^{2}-7x-5}=x+5 $ ,then x is equal to
Options:
A) 2
B) 3
C) 6
D) 5
Show Answer
Answer:
Correct Answer: C
Solution:
$ \sqrt{3x^{2}-7x-30}+\sqrt{2x^{2}-7x-5}=x+5 $ $ \sqrt{3x^{2}-7x-30}=(x+5)-\sqrt{2x^{2}-7x-5} $ on squaring, $ \sqrt{2x^{2}-7x-5}=5 $ $ 2x^{2}-7x-30=0\Rightarrow x=6 $ .
BETA
