The trinomial is equal to the binomial when [tex]x=1, x=-1[/tex]
Explanation:
The trinomial equation is [tex]-2 x^{2}+5 x+6[/tex]
The binomial equation is [tex]4 x^{2}+5 x[/tex]
To find the value of x at which both equations are equal, let us equate the two equations.
Thus, we have,
[tex]-2 x^{2}+5 x+6=4 x^{2}+5 x[/tex]
Subtracting both sides by 5x, we get,
[tex]-2 x^{2}+6=4 x^{2}[/tex]
Adding both sides by [tex]2 x^{2}[/tex], we have,
[tex]6=6x^{2}[/tex]
Dividing both sides by 6, we have,
[tex]1=x^{2}[/tex]
Taking square root on both sides, we get,
[tex]\pm1=x[/tex]
Thus, the value of x is [tex]x=1, x=-1[/tex]
Hence, the trinomial is equal to the binomial when [tex]x=1, x=-1[/tex]
