Find the value of roots of `x^2-36=0` and then prove the root

Find the roots of -x^(2) + x-2=0

Find the value of root(4)((36)^(-2))

Find the roots of 4x^2+7x-36=0 by splitting the middle term.

Given that 2 is a root of x^3-6x^2+3x+10=0 , find the other roots .

Given that 2 is a root of x^3-6x^2+3x+10=0 , find the other roots .

If one of the roots of the equation 3x^(2)-kx-2=0 is 2. Find the value of k. Also find the other roots.

Find the value of a for which the sum of the squares of the roots of the equation x^2-(a-2)x-a-1=0 assumes the least value.

Find the value of a for which the sum of the squares of the roots of the equation x^2-(a-2)x-a-1=0 assumes the least value.

Find the value of a for which the sum of the squares of the roots of the equation x^(2)-(a-2)x-a-1=0 assumes the least value.

One root of the quadratic equation 8x^(2)+mx+15=0 is (3)/(4) . Find the value of m. Also, find the other root of the equation.