Question

IF F(x)=2x^3+Ax^2+4X-5 andf(2)=5 then find A?​

Answer 1

`\huge\boxed{\sf A = -7/2}`

Explanation:

Given function is:

`\sf f(x) = 2x^3+Ax^2 + 4x-5`

`\rule[225]{225}{2}`

Put x = 2

`\sf f(2) = 2(2)^3+A(2)^2+4(2)-5\\\\f(2) = 2(8) + A(4)+8-5\\\\f(2) = 16 + 4A+3\\\\f(2) = 4A+19\\\\Given \ that \ f(2) = 5\\\\So,\\\\5 = 4A + 19\\\\Subtracting \ 19 \ to \ both \ sides\\\\5-19 = 4A\\\\-14 = 4A\\\\Dividing\ both\ sides\ by\ 4\\\\A = -14 / 4\\\\A = -7/2`

`\rule[225]{225}{2}`

Hope this helped!

~AnonymousHelper1807