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What is the sum of all the real values of $x$ satisfying the equation $2(x-1)(x+5) = 1$?
What is the sum of all the real values of $x$ satisfying the equation $2(x-1)(x+5) = 1$?
- 14 (correct)
- 16
- -4
- -5
If both the roots of the quadratic equation $x^2 - 2px + p^2 + p - 5 = 0$ are less than 3, then $p$ lies in the interval:
If both the roots of the quadratic equation $x^2 - 2px + p^2 + p - 5 = 0$ are less than 3, then $p$ lies in the interval:
- (1, $\infty$)
- (3, $\infty$)
- ($-\infty$, 1)
- (1, 3) (correct)
If the quadratic equations $ax^2 + 2cx + b = 0$ and $ax^2 + 2bx + c = 0$ ($b \neq c$) have a common root, then $a + 4b + 4c$ is equal to:
If the quadratic equations $ax^2 + 2cx + b = 0$ and $ax^2 + 2bx + c = 0$ ($b \neq c$) have a common root, then $a + 4b + 4c$ is equal to:
- $-1$
- $1$
- $0$ (correct)
- $-2$
The value of $a$ in the equation $sin^4 x - 2cos^2 x + a^2 = 0$ is solvable if the equation $x^2 - 2x + 3 = 0$ is:
The value of $a$ in the equation $sin^4 x - 2cos^2 x + a^2 = 0$ is solvable if the equation $x^2 - 2x + 3 = 0$ is:
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The sum of all the real values of $x$ satisfying the equation $2(x-1)(x+5) = 1$ is:
The sum of all the real values of $x$ satisfying the equation $2(x-1)(x+5) = 1$ is:
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