Complete the square to transform the quadratic equation into the form (x – p)2 = q.
1 answer:
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Answer:
Step-by-step explanation:
The mid point can be found with the formula
The given coordinates are and
.
Replacing coordinates in the formula, we have
Therefore, the mid point of the segment PQ is
Answer:
A quadratic equation can be written as:
a*x^2 + b*x + c = 0.
where a, b and c are real numbers.
The solutions of this equation can be found by the equation:
Where the determinant is D = b^2 - 4*a*c.
Now, if D>0
we have the square root of a positive number, which will be equal to a real number.
√D = R
then the solutions are:
Where each sign of R is a different solution for the equation.
If D< 0, we have the square root of a negative number, then we have a complex component:
√D = i*R
We have two complex solutions.
If D = 0
√0 = 0
then:
We have only one real solution (or two equal solutions, depending on how you see it)