Solve by Factoring
Solve by factoring:
5x2=3x
WHAT IS...
x=0 or 3/5
What value needs to be placed in the blank to complete the square:
x2-7x+__
WHAT IS...
49/4
Solve via the quadratic formula (Show work!!!)
y=x2-4x+4
WHAT IS...
x=-2, 2
One leg of a right triangle exceeds the other by 4 inches. The hypotenuse is 20 inches. Find the length of the shorter leg.
WHAT IS...
12 inches
Write an equation in standard form with -6 and 2 as solutions.
WHAT IS...
y=x2+4x-12
What is the solution set for the equation 3x2-48=0?
WHAT IS...
x=4 and -4
if x2+4-8x=0 is solved by completing the square, an inter mediate step would be:
A) (x+4)2 =12
B) (x-4)2 =12
C) (x-4)2=20
D) (x-8)2 =60
WHAT IS...
B
When is the best time to use the quadratic formula?
WHAT IS...
When an equation is difficult/impossible to factor.
A square has one side increased in length by 2 inches and an adjacent side decreased in length by 2 inches. If the resulting rectangle has an area of 60 sq. inches, what was the area of the original square?
WHAT IS...
64 in2
Write a quadratic equation, in the form ax2+bx+c=0, whose roots are -4 and 5.
WHAT IS...
x2-x-20=0
What is the solution set of the equation 5x2+2x-3=0?
A) {5/3, -1}
B) {-5/3, 1}
C) {3/5, -1}
D) {-3/5, 1}
WHAT IS...
C
Solve by completing the square:
2x2+18x+4=0
WHAT IS...
x=[-9(p/m) (73)radical]/2
Solve using the quadratic formula:
2x2=5x-2
WHAT IS...
x=2 and 1/2
The length of a rectangle is 3 less than its width. If its area is 180 sq. meters, find the perimeter of the rectangle.
WHAT IS...
54 meters
Solve using a method of your choice:
3m2-27=0
WHAT IS...
m=3 and -3
Solve by factoring:
x(x-7)=30
WHAT IS...
x=10 and -3
Solve by completing the square:
5w2-21=10w
WHAT IS...
w=[5(p/m) (130)radical]/5
Solve using the quadratic formula:
5w2-21=10w
WHAT IS...
x= [5 (plu/min) (130)radical]/5
(Apologies for the poor way I am writing this. The site won't let me write it properly)
Nine times a certain number is 5 less than twice the square of the number. Find the number/numbers that satisfy this situation.
WHAT IS...
5 or -1/2
The product of 2 consecutive integers is 56. Find the integers.
WHAT IS...
{-7, -8} and {7, 8}
Solve by factoring:
x/2 = 9/(x+3)
WHAT IS...
x= -6 and 3
Simplify by completing the square:
6n2+2n+5
WHAT IS...
6(n+1/6)2 +29/6
Solve with the quadratic formula and round to the nearest tenth:
16=-x2+11x
WHAT IS...
x= 9.3 and 1.7
The length of the hypotenuse of a right triangle is 25cm. If one of the legs is 5cm longer than the other, find the area of the triangle.
WHAT IS...
150 cm2
Solve using a method of your choice:
x2+2x-48=-6
WHAT IS...
x=-1(plu/min) (43)radical