factoring trinomials
complex numbers problems
Solve for the value of the discriminant and number of solutions
solve the quadratic equation by factoring
solve the quadratic equation by using the quadratic formula
100
x^2+7x+12=(x+3)(x+4)
What is x^2+7x+12
100
2i² = 2(−1) = −2
What is i· 2i
100
D =16 Since the discriminant is positive, there are two real–number roots.
What is x^2 – 6x + 5 = 0
100
The roots are x = 5 and x = − 3.
What is x^2 − 2x − 15 = 0
100
x=1+/-10
What is x^2-2x=99
200
2x^2+12x+16=(2x+8)(x+2)
What is 2x^2+12x+16
200
3²i² = −9
What is (3i)²
200
D =0 Since the discriminant is zero, there is one real–number root.
What is n^2 – 18n + 81 = 0
200
There is a double root of x = -1/3.
What is 9x^2 + 6x + 1 = 0
200
x=-4+/-sqare(26)/8
What is 10x^2+8x=1
300
8x^2-2x-1=(4x+1)(2x-1)
What is 8x^2-2x-1
300
−20i² = 20
What is −5i· 4i
300
D =120 Since the discriminant is positive, there are two real–number roots.
What is –7q2 + 8q + 2 = 0
300
The roots are: x=-2/3 and x=5/2
What is 11x+10=6x^2
300
x=10+/- isqare(2)/2
What is 40x-7x^2=101-3x^2
400
3x^2+4x-7=(3x+7)(x-1)
What is 3x^2+4x-7
400
= (x + 1)² − 9i² = x² + 2x + 1 + 9 = x² + 2x + 10
(x + 1 + 3i)(x + 1 − 3i)
400
D =–23 Since the discriminant is negative, there are no real–number roots.
What is 3p2 – p + 2 = 0
400
The roots are: x=4/7 and x=1/2
What is 15x=14x^2+4
400
The answers are: x=-5 and x=-10
What is -15x=x^2+50
500
3x^2-20x-7=(3x+1)(x-7)
What is 3x^2-20x-7
500
= (x − 2)² − 2i² = x² − 4x + 4 + 2 = x² − 4x + 6
What is (x − 2 − i)(x − 2 + i)
500
D =0.04 Since the discriminant is positive, there are two real–number roots
What is 4p2 – 1.8p + 0.2 = 0
500
The roots are: x = -1 or x = 1
What is 2-1/x=3/x+2
500
The answers are: x=-8 and x=2
What is 12x=32-2x^2
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