IPMAT Indore - If the harmonic mean of the roots of the equation (5 + sqrt(2)) x ^ 2 - bx + 8 + 2sqrt(5) = 0 is 4 then the value of b is | PYQs + Solutions

IPMAT Indore

Algebra

Medium

$2$

$4-\sqrt{5}$

$3$

$4+\sqrt{5}$

✅ Correct Option: 4

Related questions:

IPMAT Indore 2025

Let $P(x)$ be a quadratic polynomial such that

$\left|\begin{array}{ll} P(0) & P(1) \\ P(0) & P(2) \end{array}\right|=0$

Let $P(0)=2$ and $P(1)+P(2)+P(3)=14$ . Then $P(4)$ equals

IPMAT Indore 2024

The difference between the maximum real root and the minimum real root of the equation $(x^2 - 5)^4 + (x^2 - 7)^4 = 16$ is

IPMAT Indore 2025

Let $f(x) = a^2x^2 + 2bx + c$ where, $a \neq 0$ , $b, c$ are real numbers and $x$ is a real variable then

IPMAT Indore (MCQ) PYQs