Quadratic equations class 10 CBSE Ex 4.1 Q1(7,8)

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

If alpha and beta are the roots of the quadratic equation x^(2) + px + q = 0 , then form the quadratic equation whose roots are alpha + (1)/(beta), beta + (1)/(alpha)

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.

Sets , Nios, Class-12, Ch-1 ,Ex-1.1 ,Q-1

The roots of the quadratic equation 4x^(2)-(5a+1)x+5a=0 , are p and q. if q=1+p, calculate the possible values of a,p and q.

Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic equation x^2-p x+1=0. a n dalpha^2,beta are the roots of quadratic equation x^2-q x+8=0, then find p ,q,alpha,betadot

The quadratic equation whose one root is (-3+ i sqrt7)/(4) is

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.

The value of 'a' for which the quadratic equation 2x^(2) - x(a^(2) + 8a -1) + a^(2) - 4a = 0 has roots with opposite signs, lie in the interval