Question

0=(x-8) (3x-5) show all work

Answer 1

Answer:

x = 8

$x=1\frac{2}{3}$

Step-by-step explanation:

0 = (x - 8)(3x - 5)

(x - 8)(3x - 5) = 0

x(3x - 5) - 8(3x - 5) = 0

3x² - 5x - 8(3x - 5) = 0

3x² - 5x - 24x + 40 = 0

3x² - 29x + 40 = 0

$x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}$

Ignore the A before the ±. It wouldn't let me type it correctly.

3x² - 29x + 40 = 0

a = 3

b = - 29

c = 40

$x=\frac{-(-29)±\sqrt{(-29)^{2}-4((3)(40)) } }{2(3)}$

$x=\frac{-(-29)±\sqrt{841-4((3)(40)) } }{2(3)}$

$x=\frac{29±\sqrt{841-480} }{2(3)}$

$x=\frac{29±\sqrt{361} }{2(3)}$

$x=\frac{29±19 }{2(3)}$

$x=\frac{29±19 }{6}$

Two separate equations

$x=\frac{29+19 }{6}$

$x=\frac{48 }{6}$

x = 8

$x=\frac{29-19 }{6}$

$x=\frac{10 }{6}$

$x=\frac{5 }{3}$

$x=1\frac{2}{3}$