Question

How can i solve this equation

Answer 1

D. -1.44 and 2.44

Explanation:

`f(x) = 2 {ax}^(2) + (3 - b)x + 7`

is equal to:

`g(x) = (a - 1) {x}^(2) + 2bx + 7`

•◇•◇○◇•◇•

➡️
`- 2 {x}^(2) + 2x + 7 = 0`

➡️
`Δ = {b}^(2) - 4ac = 4 - 4 * 7 * ( - 2) = 60 = √(Δ) = 7.746`

➡️
`x = ( - b± √(Δ) )/(2a) = ( - 2± 7.746)/( - Δ)`

➡️
`x_(1) = ( - 2 + 7.746)/( - 4) = - 1.44`

➡️
`x_(2) = ( - 2 - 7.746)/( - 4) = 2.44`