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