If one zero of the polynomial (a^2+9)x^2+13x+6a is the reciprocal of the other, find the value of a.

Mathematics

1 answer:

mihalych1998 [28]2 years ago

5 0

Answer: a^2x^2+9x^2+13x+6a

Step-by-step explanation:

(a^2+9) x^2+ 13x +6a

x^2(a^2+9)+13x+6a

Expand:x^2(a^2+9): a^2 x^2+9^2

x^2 a^2 +x^2*9

a^2 x^2+9x^2

a^2 x^2+9x^2+13x+6a

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If one zero of the polynomial (a^2+9)x^2+13x+6a is the reciprocal of the other, find the value of a.​

If one zero of the polynomial (a^2+9)x^2+13x+6a is the reciprocal of the other, find the value of a.