determine, by considering the discriminant, the number of points of intersection with the x axis of the following parabolas
1)y=x^2-7x+3
2)y=5-7x-2x^2
3)y=3x+2x^2
2007-10-01 23:21:33 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The curves all intersect the x axis at y = 0, so as the previous answer suggested, set each equation equal to zero and solve with the quadratic formula.
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2007-10-01 23:27:36 · answer #1 · answered by Robert L 7 · 0⤊ 0⤋
y = x³ , y = 16x , x ? 0 approximately y = 0 , a = 0 , b = 4 be conscious that a and b are calculated via fixing y = x³ , y = 16x as a device, the innovations are the factors of intersection that are x = -4 , 0 , 4 yet we elect x ? 0, so the obstacles are 0 and four. Disk technique: V = ? ?[x=a to b] f(x)² dx => f(x)² = (16x)² - (x³)² = ? ?[x=0 to 4](16x)² - (x³)² dx = ? [(256 x³)/3 - x^7/7] from 0 to 4 = (65536? )/2 ? 9804.sixteen gadgets cubed
2016-12-28 10:49:19 · answer #2 · answered by ? 3 · 0⤊ 0⤋
use the quadratic formula
2007-10-01 23:24:52 · answer #3 · answered by Anonymous · 0⤊ 0⤋