Mathematics · 2024
JEE Main · 5 April 2024, Shift 2 · Q30
The number of real solutions of the equation x|x+5|+2|x+7|-2=0 is ____.
The number of real solutions of the equation $\displaystyle x|x+5|+2|x+7|-2=0$ is $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
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
- 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
- The number of real roots of the equation x|x-2|+3|x-3|+1=0 is:2025
- The sum of all the real solutions of the equation log_(x+3)(6 x^2+28 x+30)=5-2 log_(6 x+10)(x^2+6 x+9) is equal to2026
- The number of distinct real roots of the equation |x||x+2|-5|x+1|-1=0 is ____.2024
- The number of distinct real solutions of the equation x|x+4|+3|x+2|+10=0 is2026
- If the set of all solutions of |x^2+x-9|=|x|+|x^2-9| is [α, β] ∪[γ, ∞), then ( α^2+β^2+γ^2 ) is equal to:2026
- The number of real solution(s) of the equation x^2+3 x+2= min {|x-3|,|x+2|} is:2025
JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.