Question

06. If one of the Zeroes of the quadratic polynomials (a-1)x+ ax+1= -3, then find the value of a.​

Answer 1

Step-by-step explanation:

Given:

Correct quadratic polynomial may be

$(a -1 ) {x}^{2} + ax + 1$

To find: Value of a,if one of the zero of quadratic polynomial is -3.

Solution:

If one zero is -3,that is x= -3 satisfy the quadratic equation.

Put the value here

$(a - 1) {x}^{2} + ax + 1 = 0 \\ \\ (a - 1)( - 3)^{2} + a( - 3) + 1 = 0 \\ \\ 9(a - 1) - 3a + 1 = 0 \\ \\ 9a - 9 - 3a + 1 = 0 \\ \\ 6a - 8 = 0 \\ \\ a = \frac{8}{6} \\ \\ a = \frac{4}{3}$

Final answer:

$\bold{a = \frac{4}{3} }$

Hope it helps you.

To learn more on brainly:

Given that the zeroes of the cubic polynomial

x³– 15x²+ 66x – 80 are of the form a, a + b, a + 2b for some p...

https://brainly.in/question/18132288