8x^2+14x+5=0 completeing the squar

Question

solomonzelman · Answer

$\large\color{slate}{ 8x^2+14x+5=0                    }$
$\large\color{slate}{ 8x^2+14x=-5                    }$

$\large\color{slate}{ 8(x^2+\frac{14}{8}x)=-5                    }$

solomonzelman · Answer

Can you find the number that would make  $\large\color{blue}{ x^2+\frac{14}{8}x\color{red}{}  }$ a perfect square trinomial once added?

anonymous · Answer

the anwser is 1.25 and .5 but i am not sure how to get them

solomonzelman · Answer

okay, can you answer the afore-posted question that I asked?

anonymous · Answer

14/8 1.75.. but i dont no what x is

solomonzelman · Answer

okay, lets first try to comprehend the concept of a perfect square trinomial.
Do you know that:

1)   $\large\color{blue}{ x^2+4x+4  }$
2)   $\large\color{blue}{ x^2-2x+1  }$
3)    $\large\color{blue}{ x^2+6x+9  }$
4)    $\large\color{blue}{ x^2+8x+16  }$

are perfect squares trinomials, and why this is so?

solomonzelman · Answer

(say no, if you don't... and don't be afraid of anything...)