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17 questions
Which is the standard form for a quadratic equation?
x=2a−b±b2−4ac
ax2+bx+c=0
y=a(x−h)2+k
a2+b2=c2
Which is the quadratic formula?
x=2a−b±b2−4ac
ax2+bx+c=0
y=a(x−h)2+k
a2+b2=c2
Solve using any method:
x2-5x+6=0
{1, -6}
{3, 2}
{-3, 2}
{-1, 6}
Solve using any method:
2x2 + 16x = 18
{-1, 9}
{-9, 1}
(2, 18)
{2, 16}
Solve using any method:
2x2 - 9x - 35 = 0
{27, −6}
{−25, 5}
{7−3, 6}
{−25, 7}
Solve using any method:
x2 − 7x = 0{7}
{1, 7}
{0, 7}
no real solution
Solve using any method:
3x2−10x+1=0
x=6−10±88
x=3−5±222
x=610±112
x=35±22
Solve using any method:
x2 −3x +2
23 ± 7
43 ± 17
−1, −2
2, 1
Solve using any method:
2x2 + 3x − 1 = 0
2−3 ± 13
43 ± 17
4−3 ± 17
−21, −1
Solve using any method:
2x2 − 3x − 3 = 0
43 ± 33
2−1 ± 13
2, 1
23 ± 17
Solve using any method:
x2 + 4x - 40 = -8
{-10, -4}
{-4, 10}
{-8, 4}
{-4, 8}
If the discriminant is equal to 4,
there are:
No Real Solutions
1 Real Solution
2 Real, Rational Solutions
2 Real, Irrational Solutions
If the discriminant is equal to -2,
there are:
No Real Solutions
1 Real Solution
2 Real, Rational Solutions
2 Real, Irrational Solutions
If the discriminant is equal to 0,
there are:
No Real Solutions
1 Real Solution
2 Real, Rational Solutions
2 Real, Irrational Solutions
If the discriminant is equal to 7,
there are:
No Real Solutions
1 Real Solution
2 Real, Rational Solutions
2 Real, Irrational Solutions
What is the discriminant and how many solutions would this quadratic have?
-3x2 - 5x + 15 = 7
205, 2 Real, Irrational Solutions
-71, No Real Solutions
121, 2 Real, Rational Solutions
121, 1 Real Solution
What is the discriminant and how many solutions would this quadratic have?
3x2 + 3x + 4 = -3
-75, No Real Solutions
-75, 2 Real Solutions
-39, No Real Solutions
-39, 1 Real Solution
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