Column 1
How do you know if an equation is quadratic
A. If it has an exponent of 4
B. If it has no exponent
C. If it has 3 terms
D. If it has an exponent of 2
D. If it has an exponent of 2
write the mathematical expression (use x as the variable):
One less than a number
answer: x-1
Solving QE by factoring
(8x+5)(4x-3)=0
Answer:
x= -5/8 | x= 3/4
find the roots:
x2-10x-11 = 0
x=-1
x=11
Extracting roots
x2=121
x = -11
x = 11
If an equation has a degree higher than 2 is it still quadratic?
No
write the mathematical expression (use x as the variable):
2 more than 3 times a number
3x+2
Solving QE by factoring
(6x-3)(10x+9)=0
Answer: x= 3/6 or 1/2 | x= -9/10
find the roots:
x2-16x+64 = 0
x=8
x=8
Extracting roots
x2 = 625
x = 25
x = -25
Which one of these is not quadratic
A. 2x^2 + 4x - 16 = 0
B. 8x^4 + 16x + 32 = 0
B.
Illustrating quadratic equation:
Suppose the length is 6 more than the width and the area is 475 cm.
what are the representation and the quadratic equation
representation:
quadratic equation:
representaion= Let x be the width
x+6= Length
Quadratic Equation: X2+6x-475=0
Solving QE by factoring
(2x+9)^2=0
x=-9/2
find the roots:
3x2+18x-27 = 0
x=3
x=-9
Extracting roots
x2 = 169
x = 13
x = -13
Is 2x^2 - 3x = 0 quadratic
yes
Illustrating quadratic equation:
The length is 13 less than 2 times its width and the area is 475
What's the representation and the quadratic formula
representation:
quadratic formula:
Representation: Let x be width
2x-13= Length
Quadratic equation: 2x2-13x-475=0
Solving QE by factoring
x2+7x+12=0
x= -4
x2=-3
find the roots
x2+4x+4
x=-2
x=-2
Extracting roots
X²=4
answer: x=2 or x=-2
Find what makes the equation a non-quadratic and change it to make the equation quadratic
4x^4 + 16x + 256 = 0
Change the exponent of the first term to 2
Illustrating quadratic equations
The width is 1 more than its base and the area is 15
Find the representation and the quadratic equation
Representation:
Quadratic Equation:
Representation: Let x be the base
x+1=height
Quadratic equation: x2+x-30=0
Solving QE by factoring
2x2-11x+10=0
x= 10/2 or 5
x2= 1
Find the roots:
4x2+24x+36 = 0
x=-3
x=-3
Extracting roots
3x²=12
x = 2
x = -2