Listen NCERT Audio Books to boost your productivity and retention power by 2X.
Find the roots of each of the following equations, if they exist, by applying the quadratic formula:
Given:
taking LCM
cross multiplying
x2 + 1 = 3x
x2 – 3x + 1 = 0
Comparing with standard quadratic equation ax2 + bx + c = 0
a = 1, b = – 3, c = 1
Discriminant D = b2 – 4ac
= (– 3)2 – 4.1.1
= 9 – 4 = 5 >
Hence the roots of equation are real.
√D = √5
Roots α and β are given by
Hence the roots of equation are