Offline paper
Mathematics · 2016
JEE Main 2016 · 2016-04-03 Offline · Q63
The sum of all real values of x satisfying the equation (x^2-5 x+5)^x^2+4 x-60=1 is:
The sum of all real values of $\displaystyle x$ satisfying the equation
$\displaystyle \left(x^2-5 x+5\right)^{x^2+4 x-60}=1$ is :
Official answer
(1)
$\displaystyle 3$
More from Basic Maths
- Let A={x ∈(0, π)-{(π)/2}: log_(2 / π)| sin x|+ log_(2 / π)| cos x|=2} and B={x ≥ 0: √x(√x-4)-3|√x-2|+6=0}. Then n(A ∪ B) is equal to:2025
- Let a, b, c be three distinct positive real numbers such that (2 a)^log_e a=(b c)^log_e b and b^log_e 2=a^log_e c. Then 6 a+5 b c is equal to ____.2023
- The sum of the squares of the roots of |x-2|^2+|x-2|-2=0 and the squares of the roots of x^2-2|x-3|-5=0, is2025
- Let S={x ∈[-6,3]-{-2,2}: (|x+3|-1)/(|x|-2) ≥ 0} and T={x ∈ Z: x^2-7|x|+9 ≤ 0}. Then the number of elements in S ∩ T is:2022
- The least value of |z| where z is complex number which satisfies the inequality exp (((|z|+3)(|z|-1))/(||z|+1|) log_e 2) ≥ log_√2|5 √7+9 i|, i=√-1,…2021
- The number of real roots of the equation x|x-2|+3|x-3|+1=0 is:2025
- If for x ∈(0, (π)/2), log_10 sin x+ log_10 cos x=-1 and log_10( sin x+ cos x)=1/2( log_10 n-1), n>0, then the value of n is equal to:2021
- The number of real solutions of the equation, x^2-|x|-12=0 is:2021
JEE Main 2016 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.