Question

if one zero of the p(x) = (a²+9)x²+12x+6a is multiplicative inverse of the other find a​

Answer 1

Solution

Given :-

• Polynomial equation, p(x) = (a² + 9)x² + 12x + 6a =
• One roots us multiplicative inverse of other .

Find :-

• Value of a

Explanation

Let,

• first Roots of this polynomial = P
• Second roots of this polynomial = 1/P

Using Formula

★ Sum of roots = -(coefficient of x)/(coefficient of x²)

★product of roots = (constant part)/(coefficient of x²)

So,

==> Sum of roots = -12/(a² + 9)

==> 1/P + P = -12/(a² + 9)_____________(1)

Again,

==> Product of roots = 6a/(a² + 9)

==> 1/P × P = 6a/(a² + 9)

==> 1 = 6a/(a² + 9)

==> a² + 9 = 6a

==> a² - 6a + 9 = 0

==> a² - 3a - 3a + 9 = 0

==> a(a - 3) - 3(a - 3) = 0

==> (a - 3)(a - 3) = 0

Or,

==> a - 3 = 0 Or, a - 3 = 0

==> a = 3, Or, a = 3

Hence

• Value of a will be = 3,3

____________________

Answer 2

Answer:

b. Small intestine