`x^(2)-7x-5=0`

Find the roots of the following quadratic equations by the method of completing the square : (i) x^(2)-10-24=0 (ii) 2x^(2)-7x-39=0 (iii) 5x^(2)+6x-8=0

If alpha,beta,gamma and delta are roots of equation x^(4)-7x^(2)+x-5=0, then the value of (alpha+beta+gamma)(alpha+beta+delta)(beta+gamma+delta)(alpha+gamma+delta) is equal to

Find the roots of the following quadratic equations by factorisation : (1) x^(2)-3x-10=0 (2) 2x^(2)+x-6=0 (3) sqrt(2)x^(2)+7x+5sqrt(2)=0 (4) 2X^(2)-X+(1)/(8)=0 (5) 100x^(2)-20x+1=0

Find the roots of the following quadratic equations by factorisation : (i) x^(2)-3x-10=0 (ii) 2x^(2)+x-6=0 (iii) sqrt2x^(2)+7x+5sqrt2=0 (iv) 2x^(2)-x+(1)/(8)=0 (v) 100x^(2)-20x+1=0 (vi) 2x^(2)+az-a^(2)=0

Find the roots of the following quadratic equations by factorisation : (i) x^(2)-3x-10=0 (ii) 2x^(2)+x-6=0 (iii) sqrt2x^(2)+7x+5sqrt2=0 (iv) 2x^(2)-x+(1)/(8)=0 (v) 100x^(2)-20x+1=0 (vi) 2x^(2)+az-a^(2)=0

log_((1)/(5))(2x^(2)+7x+7)=0

What is the sum of the squares of the roots of the equation x^(2)-7[x] + 5 = 0 ? (Here [x] denotes the greatest integer less than or equal to x. For example [3.4] = 3 and [-2.3] =-3).