Final Jeopardy Question
Solve for x. Check for extraneous solutions.
(x^2 +8)/x-1=(2(x+4))/x
3x3 − 18x2 − 21x
3x(x − 7)(x +1)
5x3 + 125x
5x(x2 + 25)
If the area of a rectangle is the expression (x2 + 15x + 36) and the length is (x + 3), then what is the expression for the width?
x + 12
2x2 − 9x + 10
(2x − 5)(x − 2)
16x2 + 8xy + y2
(4x + y)2
Solve: 2x3 = 50x
x = 0, 5, -5
(x − 4)2 + 3(x − 4) − 18
(x + 2)(x − 7)
64x3 − 27y3
(4x−3y)(16x2+12xy+9y2)
One leg of a right triangle is 3 cm less than the longer leg. If the hypotenuse is 15 cm, then find the length of the shorter leg.
9 cm
4x2n + 12xn + 9
(2xn + 3)2
625x4 − 256
(25x2+16)(5x+4)(5x−4)
Suppose a rock is thrown upward from the top of a 256-foot tall building at an initial velocity of 96 ft/sec. The height h(t) of the rock in feet after t seconds is given by the function, h(t) = −16t2 +v0t + h0, where v0 is initial velocity and h0 is initial height. How long does it take the rock to hit the ground, neglecting air resistance?
8 seconds