Factoring
Simplify: sqrt(147)
7sqrt(3)
Solve the following quadratic equation: x2 + 6x = -8
x = -2 x = -4
x = -b +- sqrt(b2 - 4ac) /(2a)
Find the x-intercepts of f(x)=-x2+8x-15
x = 3, x = 5
Solve the following quadratic equation by factoring. x2 - 6x + 5 = 0
x = 5 x = 1
Find the sum and product of the following:
7sqrt(2) and 6sqrt(6)
sum: 7sqrt(2) + 6sqrt(6)
product: 84sqrt(3)
Solve the following quadratic equation: x2 - 6x = -5
x = 1 x = 5
Solve the following quadratic equation by using the quadratic formula: x2 + 6x + 5 = 0
Find the vertex of f(x)=x2-2x
Solve the following quadratic equation by factoring. 3x2+4x+1 = 0
x = -1/3 x = -1
Simplify: sqrt(4 x^4 y^3)
2x^2 y sqrt(y)
Solve the following quadratic equation: x2 - 2x - 24 = 0
x = -4 x = 6
Solve the following quadratic equation by using the quadratic formula: x2 + 10x + 74 = 0
x = -5 + 7i
x = -5 - 7i
Find the axis of symmetry of f(x)=5x2+2x-2
x = -1/5
Solve the following quadratic equation by factoring. x2 - 6x - 27 = 0
x = 9 x = -3
Solve the following quadratic equation by using square roots: x2 -9 = -8
Solve the following quadratic equation: x2 + 10x = -16
x = -2 x = -8
Solve the following quadratic equation by using the quadratic formula: 2x2 + 9x + 4 = 0
Find the y-intercept: f(x)=-x2-4x
y = 0
Solve the following quadratic equation by factoring. 2x2 - 5x - 3 = 0
Solve the following quadratic equation by using square roots: 5x2 + 3 = 128
Simplify the radical expression as much as possible:
sqrt(-32) - 2sqrt(8)
4i sqrt(2) - 4sqrt(2)
Solve the following quadratic equation by using the quadratic formula: 9x2 - 6x + 2 = 0
x = 1/3 + 1/3 i
x = 1/3 - 1/3 i
How many x-intercepts does a quadratic with imaginary solutions have? Explain why.
0. The imaginary solutions tell us we there was a negative under the radical, which means we cannot find 'real' values for the x-intercpets.