6x-13sqrt(7)=0

Solve the following equation by using the method of factorisation: sqrt7x^2-6x-13sqrt7=0

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them :- sqrt7x^2-6x-13sqrt7=0 .

sqrt7y^(2)-6y-13sqrt7=0 :

Solve each of the following quadratic equations: 4sqrt(6)x^(2)-13x-2sqrt(6)=0

{:(sqrt(5)x - sqrt(7)y = 0),(sqrt(7)x - sqrt(3)y = 0):}

{:(sqrt(5)x - sqrt(7)y = 0),(sqrt(7)x - sqrt(3)y = 0):}

lim_(x rarr1)(13sqrt(x)-7sqrt(x))/(5sqrt(x)-3sqrt(x))

lim_(x->0)[((sqrt(x)-sqrt(7))(sqrt(x)+sqrt(7)))/(x-7)]

If the function f(x) = x^(3) - 6x^(2) + ax + b satisfies Rolle's theorem in the interval [1,3] and f'[(2sqrt(3)+1)/sqrt(3)]=0 , then a=