Quadratic equations class 10 CBSE Ex 4.1 Q2

Solve the following quadratic equation : 10x-(1)/(x)=3

Solve the quadratic equation for x : 4x ^2 −4a ^2x+(a ^4−b ^4)=0

Find all the integral values of a for which the quadratic equation (x - a) (x - 10) + 1 = 0 has integral roots.

Consider quadratic equations x^2-ax+b=0 and x^2+px+q=0 If the above equations have one common root and the other roots are reciprocals of each other, then (q-b)^2 equals

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.

If alpha and beta are the roots of the quadratic equation 4x ^(2) + 2x -1=0 then the value of sum _(r =1) ^(oo) (a ^(r ) + beta ^(r )) is :

The real values of 'a' for which the quadratic equation 2x^2 - (a^3 + 8a - 1) x + a^2 - 4a = 0 possess roots of opposite sign is given by:

Most important question class 10 chapter 4 Quadratic equation

If p,q are roots of the quadratic equation x^(2)-10rx -11s =0 and r,s are roots of x^(2)-10px -11q=0 then find the value of p+q +r+s.

Statement -1 : A root of the equation (2^(10)-3)x^(2)-2^(11)x +2^(10)+3 =0 " is " 1 and Statement-2 : The sum of the coefficients of a quadratic equation is zero, then 1 is a root of the equation.