If one root of the quadratic equation 3x2 - 10x + k = 0 is reciprocal of the other, find the value of k.

Let α and β be roots of the quadratic equation 3x2 - 10x + k = 0a = 3 b = - 10 c = kThen Product of roots k = 3

Q42 of 293 Page 503

If one root of the quadratic equation 3x² - 10x + k = 0 is reciprocal of the other, find the value of k.

Let α and β be roots of the quadratic equation 3x² - 10x + k = 0

a = 3 b = - 10 c = k

Then

Product of roots

k = 3

If 1 is a root of the equation ay² + ay + 3 = 0 and y² + y + b = 0 then find the value of ab.

If one zero of the polynomial x² - 4x + 1 is (2 + √3 ), write the other zero.

If the roots of the quadratic equation px(x – 2) + 6 = 0 are equal, find the value of p.

Find the values of k so that the quadratic equation x² – 4kx + k = 0 has equal roots.