Mathematics · 2026
JEE Main · 21 January 2026, Shift 1 · Q3
The sum of all the roots of the equation (x-1)^2-5|x-1|+6=0, is:
The sum of all the roots of the equation $\displaystyle (x-1)^2-5|x-1|+6=0$, is :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 4$
More from Basic Maths
- 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
- If the domain of the function f(x)=√(log_(0.6)(|(2 x-5)/(x^2-4)|)) is (-∞, a] ∪{b} ∪[c, d) ∪(e, ∞), then the value of a+b+c+d+e is ____.2026
- Let α=1/4+1/8+1/16+… ∞ and β=1/3+1/9+1/27+… ∞. Then the value of (0.2)^log_√5(α)+(0.04)^log_5(β) is equal to:2026
- The sum of squares of all the real solutions of the equation log_(x+1)(2 x^2+5 x+3)=4- log_(2 x+3)(x^2+2 x+1) is equal to ____.2026
JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.