If the sum of the roots of the equation `(a+1)x^(2)+(2a+3)x+(3a+4)=0`, is -1.Find its product.

If the product of the roots of the equation (a+1)x^2+(2a+3)x+(3a+4)=0i s2, then find the sum roots.

Find the roots of the equation x^2+sqrt(3) x+3/4

Find the roots of the equation (1)/(x)-(1)/(x-2)=3, x ne 0,2

Find the roots of the equation x+(1)/(x)=3, x ne 0

Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=0.

If the difference of the roots of the equation 2x^(2)-(a+1)x+a-1=0 is equal to their product then prove that a=2

If the difference of the roots of the equation 2x^(2) - (a +1) x + a -1 = 0 is equal to their product, then prove that a = 2.

Find a so that the sum and product of the roots of the equation 2x^(2) + (a -3)x + 3a -5 = 0 are equal is

Product of the roots of the quadratic equation x^(2)+3x=0 is

Consider the graph of y = f(x) as shown in the following figure. (i) Find the sum of the roots of the equation f (x) = 0. (ii) Find the product of the roots of the equation f(x) = 4. (iii) Find the absolute value of the difference of the roots of the equation f(x) = x+2 .