Question

For what values of x: Is the trinomial −2x^2+5x+6 equal to the binomial 4x^2+5x?

Answer 1

The trinomial is equal to the binomial when
`x=1, x=-1`

Step-by-step explanation:

The trinomial equation is
`-2 x^(2)+5 x+6`

The binomial equation is
`4 x^(2)+5 x`

To find the value of x at which both equations are equal, let us equate the two equations.

Thus, we have,

`-2 x^(2)+5 x+6=4 x^(2)+5 x`

Subtracting both sides by 5x, we get,

`-2 x^(2)+6=4 x^(2)`

Adding both sides by
`2 x^(2)`, we have,

`6=6x^(2)`

Dividing both sides by 6, we have,

`1=x^(2)`

Taking square root on both sides, we get,

`\pm1=x`

Thus, the value of x is
`x=1, x=-1`

Hence, the trinomial is equal to the binomial when
`x=1, x=-1`