Solving Quadratics

What is the "c" value in the equation 4x^2 = 76

-76

Solve Using the Quadratic Formula x^2 + 4x - 40 = -8

-8 & 4

CTS

1. Transform the equation so that the constant term, cc , is alone on the right side 2. If aa , the leading coefficient (the coefficient of the x2x2 term), is not equal to 11 , divide both sides by aa . 3. Add the square of half the coefficient of the xx -term, (b2a)2(b2a)2 to both sides of the equation. 4. Factor the left side as the square of a binomial. 5. Take the square root of both sides. (Remember: (x+q)2=r(x+q)2=r is equivalent to x+q=±r√x+q=±r .) 6. Solve for xx .

2x^2 + 2x - 12

2, -3

Use the quadratic formula to find the solutions for y = -x2 - 5x + 12

5±√73 ------- -2

factoring

Factor the equation The four main types of factoring are the Greatest common factor (GCF), the Grouping method, the difference in two squares, and the sum or difference in cubes.

In the equation y = x^2 +5x +7 match each leading coefficient with its correct letter

a=1, b=5, c=7

Identify a, b, and c in: x^2−6x+14

a=1,b=-6,c=14

Solve using the Quadratic Formula: x^2 + 4x + 3 = 0

x = -1 and x = -3

Solve the following quadratics equation by completing the square... x^2 + 4x + 1 = 0

x = -2 ± √3

Solve the following quadratics equation by completing the square... x^2 + 4x - 1 = 0

x = -2 ± √5

Solve the following quadratics equation by completing the square... x^2 + 12x + 10 = 0

x = -6 ± √26

x^2+2x−1=2

x = 1 and -3

Solve the following quadratics equation by completing the square... x^2 - 10x - 5 = 0

x = 5 ± √30

find x for 2x^2-8x-24=0

x= 6, -2

Solve by completing the square. x^2-6x-59=0

x={±2√17​+3}

Solve by completing the square. x^2-4x-20=0

x={±2√6​+2}

Solve by completing the square. x^2-8x-14=0

x={±√30​+4}

Solve by completing the square. x^2 +12x = 5

X = −6 + √41 or −6 − √41

dentify a, b and c in the quadratic equation: 2x^2-3x-5=0

a = 2, b = -3, c = -5

Determine the values of a, b, and c forthe quadratic equation: 4x^2 - 8x = 3

a = 4, b =-8, c =-3

Quadratic Fomula

The quadratic formula allows us to solve any quadratic equation that's in the form ax^2 + bx + c = 0.