Discriminant
Give the discriminant AND the types of solutions.
x2=7x-10
9, 2 real solutions
Solve with the quadratic formula:
x2-10x+25=0
x=5
Simplify:
(4i+3)-(7i+5)
-3i-2
Multiply the following complex number:
(4+i)(3+2i)
10+11i
x2+3x+2
(x+2)(x+1)
Give the discriminant AND the types of solutions.
x2=8x-7
36, 2 real solutions
Solve using the quadratic formula:
x-2x2=-5
(-1+sqrt41)/-4
Simplify:
(3i+1)-(5i-2)
-2i+3
Multiply the following complex number:
(5+2i)(1-i)
7-3i
Solve with square roots:
3(x-3)2-35=1
3+2sqrt3, 3-2sqrt3
Give the discriminant AND the types of solutions.
x(x-10)=-25
0, 1 real solution
Solve:
5x2+8x-12=0
(-4 + 2sqrt19)/5
Simplify:
(12-2i)+(2-9i)
14-11i
Multiply the following complex numbers:
(3+2i)(3-2i)
13
Factor:
2x2+5x+3
(2x+3)(x+1)
Give the discriminant AND the types of solutions.
x-3x2=-3
37, 2 real solutions
Solve using the quadratic formula:
3x2+x+2=0
(-1+isqrt23)/6
Simplify:
(-3-4i)-(-2-8i)
-1+4i
(1+3i)/5
(1+3i)/5
Find the vertex, axis of symmetry, y-intercept, and the max/min point for the following equation:
y=-3(x-2)2+7
vertex- (2,7)
Axis of Symmetry- x=2
y-intercept- (0,-5)
max at (2,7)
Give the discriminant AND the types of solutions.
3x2-x+2=0
-23, 2 imaginary solutions
Solve using the quadratic formula:
x2-4x+5 = 0
2+i, 2-i
Simplify:
(3x-7yi)+(6x+8yi)
9x+yi
Divide the following complex numbers:
2i3 / 6i
-1/3
Write the following equation in standard form:
y=-3(x-2)2+7
y=-3x2+12x-5