If the roots of `x^(2)+ax +b = 0` are `sec^(2)(pi)/(8)` and `coses^(2)(pi)/(8)`, then the numerical value of (a+b).

If the roots of x^(2)-bx + c=0 are "sin" pi/7 and "cos" pi/7 then b^(2) equals

The roots of the equation x^2+ax+b=0 are

If the roots of the quadratic equation x^2 - ax + 2b = 0 are prime numbers, then the value of (a-b) is

Evaluate : sin^(2) (pi/8 +x/2) - sin^(2) (pi/8 - x/2)

If the equations x^2+ax+b=0 and x^2+bx+a=0 have one common root. Then find the numerical value of a+b.

The roots of the equation x^(2)+2ax+a^(2)+b^(2)=0 are

Let a,b,c,d be distinct real numbers and a and b are the roots of the quadratic equation x^2-2cx-5d=0 . If c and d are the roots of the quadratic equation x^2-2ax-5b=0 then find the numerical value of a+b+c+d .

If a and b(!=0) are the roots of the equation x^2+ax+b=0 then the least value of x^2+ax+b is

Using the identity sin^(4) x=3/8-1/2 cos 2x+1/8 cos 4x or otherwise, if the value of sin^(4)(pi/7)+sin^(4)((3pi)/(7))+sin^(4)((5pi)/(7))=a/b , where a and b are coprime, find the value of (a-b) .

Find the value of (a) sin(pi)/(8) (b) cos(pi)/(8) (c) tan (pi)/(8)