Answer
a) $x = -7$
b) The short answer to this is that it is a square function, and square functions have one repeated solution. The long answer to this is that the discriminant is 0. How?
$D = b^2 - 4ac$
$D = 4a^2x^2 - 4a^2x^2$
$D = 0$
When the discriminant is zero, there is one repeated root.
Work Step by Step
a)
Convert the equation to standard form
$x^2 + 14x +49 = 0$
Now, use factoring
$(x+7)(x+7) = 0$
Use the zero-product property
$x+7 = 0$ or $x+7 = 0$
$x = -7$ or $x = -7$
The solution is -7.
b) The short answer to this is that it is a square function, and square functions have one repeated solution. The long answer to this is that the discriminant is 0. How?
$D = b^2 - 4ac$
$D = 4a^2x^2 - 4a^2x^2$
$D = 0$
When the discriminant is zero, there is one repeated root.
