The Quadratic Formula Assignment

which of the statements about the following quadratic equation is true? 6x^2-8=4x^2+7x

a.the discriminant is greater than zero, so there are two real roots.

the height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equation h= -16t^2+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= -16t^2+255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.

b. t= 4 s

choose the equation that represents the solutions of 0= 0.25x^2-8x

c. x= 8+sqrt (-8)^2-(4)(0.25)(0) / 2(0.25)

solve each of the quadratic equations. 3x=0.5x^2 and 0=5x^2-2x+6

d. x=0 or x=6 and c. x=1+sqrt 29/ 5

complete the statements. a=1, b=4, c=-2

graph b has one real root, graph a has a negative discriminant, and graph c has an equation with coefficients

determine the number of real solutions each quadratic equation has. y=12x^2-9x+4, 10x+y=-x^2+2, 4y-7=5x^2-x+2+3y, y=(-x+4)^2

no real solutions, two real solutions, no real solutions, and one real solution

fill in the missing steps for the derivation of the quadratic formula using the choices below.

step 3: b, step 5: d, step 6: a, step 8: c

is the solution below correct? explain.

the solution that is shown is incorrect. the formula was properly simplified. the 64 was not added, but should have been to make the radicand 73. as a result, there should be 2 real roots.