1096175
Answered

Find the largest value of $x$ such that $3x^2 + 17x + 15 = 5.$[tex]Find the largest value of $x$ such that $3x^2 + 17x + 15 = 5.$[/tex]

Answer :

LammettHash

The largest x that satisfies

[tex]3x^2+17x+15=5[/tex]

is the largest solution to

[tex]3x^2+17x+10=0[/tex]

We have

[tex]3x^2+17x+10=(3x+2)(x+5)=0[/tex]

[tex]\implies x=-\dfrac23\text{ or }x=-5[/tex]

and so the largest value of x we want is -2/3.

Other Questions