The Quadratic Formula Assignment

Which of the statements about the following quadratic equation is true?6x2 - 8 = 4x2 + 7x The discriminant is greater than zero, so there are two real roots. The discriminant is greater than zero, so there are two complex roots. The discriminant is less than zero, so there are two real roots. The discriminant is less than zero, so there are two complex roots.

A.

Complete the statements.Graph has one real root. Graph has a negative discriminant. Graph has an equation with coefficientsa = 1, b = 4, c = -2

B, A, C

Step 1: ax2 + bx + c = 0 Step 2: ax2 + bx = −c Step 3: ABCD Step 4: Step 5: ABCD Step 6: ABCD Step 7: Step 8: ABCD

B, D, A, C

The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equationh = -16t2 + h0, where h0 is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation h = -16t2 + 255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor. t 0.87 s t 4 s t = 8.5 s t = 16 s

B.

Choose the equation that represents the solutions of 0 = 0.25x2 - 8x.

C.

1. 3x = 0.5x2 x = -6 or x = 0 x = -4 or x = 3 x = -2 or x = 1.5 x = 0 or x = 6 2. 0 = 5x2 - 2x + 6

D. & C.

Is the solution shown below correct? Explain.9x+2=8x2+6x

No. The correct values of a, b, and c were substituted in, but the formula was simplified wrong. The 64 should be added so the radicand is 73. There should be 2 real roots.

Determine the number of real solutions each quadratic equation has. y = 12x2 - 9x + 4noonetwo real solution(s) 10x + y = -x2 + 2noonetwo real solution(s) 4y - 7 = 5x2 - x + 2 + 3ynoonetwo real solution(s) y = (-x + 4)2noonetwo real solution(s)

no, two, no, one