Question

Sum of the zoeroes
of the polynomia
P(x)=x² - kx+9 is 7 find the
value of K.​

Answer 1

EXPLANATION.

Sum of the zeroes of the polynomial.

⇒ p(x) = x² - kx + 9 is 7.

As we know that,

Put the value of x = 7 in equation, we get.

⇒ (7)² - k(7) + 9 = 0.

⇒ 49 - 7k + 9 = 0.

⇒ 58 - 7k = 0.

⇒ 7k = 58.

⇒ k = 58/7.

                                                                                                                         

MORE INFORMATION.

Nature of the roots of the quadratic expression.

(1) = Real and different, if b² - 4ac > 0.

(2) = Rational and different, if b² - 4ac is a perfect square.

(3) = Real and equal, if b² - 4ac = 0.

(4) = If D < 0 Roots are imaginary and unequal Or complex conjugate.