Basic Mathematics and Logarithm questions
509 published questions with worked solutions.
- The roots of the equation |x^2-x-6 |=x+2 are
- The number of real roots of the equation |x|^2-3|x|+2=0 is
- If x+1 is a factor of x^4+(p-3)x^3-(3p-5)x^2+(2p-9)x+6, then p is
- If a,b,c are real and x^3-3b^2x+2c^3 is divisible by x-a and x-b, then
- The sum of the real roots of the equation |x-2|^2+|x-2|-2=0, is
- The roots of the equation _2 (x^2-4x+5 )=(x-2) are
- If (x-1)^3 is a factor of x^4+ax^3+bx^2+cx-1, then the other factor is
- If 7^ _7 (x^2-4x+5 ) =x-1, x may have values
- The number of solutions of _4(x-1)= _2(x-3) is
- Find the smallest prime number x such that it satisfies 2^ _ 2 (x-1) >x+5.
- If _ 3 |z|^2-|z|+1 2+|z| 2, then find the least value of |z|.
- The sum of all the roots of the equation |x^2-8x+15 |-2x+7=0 is
- The number of real roots of the equation x|x|-5|x+2|+6=0, is
- Let S be the set of all real roots of the equation, 3^x (3^x-1 )+2= |3^x-1 |+ |3^x-2 |. Then S
- The sum of all the real roots of the equation (e^ 2x -4 ) (6e^ 2x -5e^x+1 )=0 is
- Let R and let the equation E be |x|^2-2|x|+| -3|=0. Then the largest element in the set S= x+ :x is an integer solution of E is
- If the domain of the function f(x) = _ (0.6) ( | 2x - 5 x^2 - 4 | ) is (−∞, a] ∪ b ∪ [c, d) ∪ (e, ∞), then the value of a + b + c...
- If the set of all solutions of |x² + x − 9| = |x| + |x² − 9| is [α, β] ∪ [γ, ∞), then (α² + β² + γ²) is equal to:
- The sum of squares of all the real solutions of the equation _ (x+1) (2x^2+5x+3)=4- _ (2x+3) (x^2+2x+1) is equal to _______.
- The remainder when 428²⁰²⁴ is divided by 21 is .........
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