answersLogoWhite

0

The idea is to solve the equation -3x2 + 24x - 19 = 0. You can use the quadratic formula for this, using a = -3, b = 24, c = 19.

Or complete the square since dividing by -3 will give us 8x, an even coefficient.

-3x2 + 24x - 19 = 0 (add and subtract 48 to the left side)

-3x2 + 24x -48 + 29 = 0 (subtract 29 to both sides, and factor out -3)

-3(x2 - 8x + 16) = -29 (divide by -3 to both sides)

(x - 4)2 = 29/3

x - 4 = ± √(29/3) (add 4 to both sides)

x = 4 ± √(29/3) (multiply by 3/3 inside the radical, if you want to rationalize the denominator)

x = 4 ± (√87)/3

User Avatar

Wiki User

11y ago

Still curious? Ask our experts.

Chat with our AI personalities

TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
MaxineMaxine
I respect you enough to keep it real.
Chat with Maxine
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin

Add your answer:

Earn +20 pts
Q: What is the x-intercept of negative 3x squared plus 24x minus 19?
Write your answer...
Submit
Still have questions?
magnify glass
imp