Quadratic Formula
If the discriminate is negative, how many real solution(s) will there be?
0
The radicand in the quadratic formula is called the
discriminate
Completing the Square Method
divide b by 2 and square it to find c, and then find the root
Factoring Method
find two numbers that multiply to get ac and add/subtract to get b, and then factor by grouping
Graphing Method
graph the equation and the solution is the x-intercept, where the parabola meets or crosses the x-axis
Solve x²+4x+2=0 using the Quadratic Formula.
x=-2±√2
Solve 2x²+3x-5=0 using the Quadratic Formula.
x=1 or x=-2.5
Solve 4x²-5=0 using the Quadratic Formula.
x=±√5 / 2
If the discriminate is zero the solution(s) will be ___ number(s).
1 rational
If the discriminate is positive but not a perfect square the solution(s) will be ___ number(s).
2 irrational
If the discriminate is positive and also a perfect square the solution(s) will be ___ numbers(s).
2 rational
Mrs. Breland
My favorite teacher
In the quadratic formula, the coefficient of the squared term is
a
In the quadratic formula, the coefficient of the linear term is
b
In the quadratic formula, the constant is
c
If the discriminant is positive,
it has two solutions
If the discriminant is 0,
it only has one solution.
How do you find the solution to a system of nonlinear equations?
look at the points where they cross each other
Mrs. Breland's favorite color
pink
Quadratic Formula Method
plug in a, b, and c into the quadratic formula and solve
To use the quadratic formula we must first write the quadratic in ___ form.
standard
If the discriminant is negative,
the answer is no solution.
Discriminant
the part of the quadratic equation which is located inside of the square root= b squared - 4ac
Square Root quadratic
when both sides of the quadratic equation are perfect squares, square root both sides and solve for x
Solve 2x²+x+5=0 using the Quadratic Formula.
x=(-1±i√39) / 4
Solve 4x²+x+5=0 using the Quadratic Formula.
x=(-1±i√79) / 8
Solve 4x²+x+5=0 using the Quadratic Formula.
x=(-1±√-79) / 8
Solve 6x²+x-3=0 using the Quadratic Formula.
x=(-1±√73) / 12
Solve 2x²+x+5=0 using the Quadratic Formula.
x=(-1√-39) / 4
Solve 2x²+6x-5=0 using the Quadratic Formula.
x=(-3±√19) / 2
Solve 2x²-3x+2=0 using the Quadratic Formula.
x=(3±i√7) / 4
Solve 2x²-3x+2=0 using the Quadratic Formula.
x=(3±√-7) / 4
Solve x²-3x-5=0 using the Quadratic Formula.
x=(3±√29) / 2
Solve 2x²-7x-1=0 using the Quadratic Formula.
x=(7±√57) / 4