Question

How do i solve this quadratic equation x²+6x+c

Answer 1

recall in a perfect square trinomial, the middle term is the tale-tell guy, we know the middle term is the product of 2 and the two other guys without the exponent, so in this case 6x = 2*√x² * √c.

`\bf 6x=2\cdot √(x^2)\cdot √(c)\implies 6x=2√(x^2c)\implies 6x=2x√(c)\\\\\\\cfrac{6x}{2x}=√(c)\implies 3=√(c)\implies 3^2=c\implies 9=c`