Algebra - Quadratic Equations - Previous Year IPM/BBA Questions

The product of the roots of the equation ${\log }_2{2}^{{\left({\log }_{2}x\right)}^2}$ - 5log₂ x + 6 = 0

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If the harmonic mean of the roots of the quadratic (5 + √2)x² - bx + 8 + 2√5 = 0 is 4, then the value of b is

• (a)

  2

• (b)

  4 + √5

• (c)

  4 - √5

• (d)

  3

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For all real values of x, $\frac{3x^2-6x+12}{x^2+2x+4}$ lies between 1 and k, and does not take any value above k. Then k equals

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Let α, β be the roots of x² - x + p = 0 and γ, δ be the roots of x² - 4x + q = 0 where p and q are integers. If α, β, γ, δ are in geometric progression then

• (a)

  -34

• (b)

  30

• (c)

  26

• (d)

  -38

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