Answer:
-5
Step-by-step explanation:
Moving all terms of the quadratic to one side, we have
.
A quadratic has one real solution when the discriminant is equal to 0. In a quadratic 
, the discriminant is 
.
(The discriminant is more commonly known as 
, but I changed the variable since we already have a 
in the quadratic given.)
In the quadratic above, we have 
, 
, and 
. Plugging this into the formula for the discriminant, we have
.
Using the distributive property to expand and simplifying, the expression becomes
Setting the discriminant equal to 0 gives
.
We can then solve the equation as usual: first, divide by 2 on both sides:
.
Squaring both sides gives
,
and subtracting 5 from both sides, we have
Reflection because it shows an exact mirror image of it.
Answer:
x^2 +4x = 18
Step-by-step explanation:
The variable y is isolated in the first equation by dividing both sides by the coefficient of y:
3y = 12x . . . . . . given
3y/3 = 12x/3 . . . . . divide by the coefficient of y
y = 4x . . . . . . . simplify
__
This expression (4x) is put in place of y when substitution is used.
x^2 +y = 18 . . . . given
x^2 +4x = 18 . . . . . with 4x substituted for y
Ye answer to that would be b
A linear function is a function with the form f(x) = ax' + b. It looks like a regular linear equation, but instead of using y, the linear function notation is f(x). To solve a linear function, you would be given the value of f(x) and be asked to find x.
