Home
Class 12
MATHS
Consider the quadratic equation (log10 8...

Consider the quadratic equation `(log_10 8)x^2-(log_10 5)x=2(log_2 10)^-1 -x.` Which of the following quantities are irrational.

A

sum of roots

B

product of roots

C

sum of coefficients

D

discriminant

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise EXAMPLE|2 Videos
  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos
  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

The equation (log_10x+2)^3+(log_10x-1)^3=(2log_10x+1)^3 has

Solve the quadratic equation x^2 - 5x + 10 = 0

Solve the equation: log_(10)10-6log_(10)10+xlog_(10)10-6=0

Solve the equation log_((log_(5)x))5=2

Solve the following equation. 4^(log_10x+1)-6^(log_10x)-2.3^(log_10x^2+2)=0

Solve the following equation. (log_10(x-3))/log_(10)(x^2-21)=1/2

Solve the following equations. (i) x^(1+log_10x)=10x

Solve the following inequation . (vii) log_(10)x+2lelog_10^2x

Solve the following equations. x^((log_10x+5)/3)=10^(5+log_10x)

Solve the following inequation . (xv) x^((log_10x)^2-3log_10x+1)gt1000