What is the solution set of -3-4 13(4-2x)-4-23

Question

asked Sep 17, 2024 71.3k views

1 Answer

Aleph · Answer 1 · 2024-09-23T01:58:17+0000

The solution set of the given quadratic equation is x = 3/4 or x = -13/4.

The given expression is a quadratic equation of the form ax² + bx + c = 0, where the constants are a = 4, b = -2, and c = -19.

We can find the solution set using the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Substituting the values, we get x = (-(-2) ± √((-2)² - 4(4)(-19))) / (2(4))

Simplifying further, we have x = (2 ± √(4 + 304))/8

So the solution set is x = 6/8 or x = -26/8, which simplifies to x = 3/4 or x = -13/4.