What is the sum of the solutions of the equation 1.5x^2 - 2.5x -1.5 = 0? Round to the nearest hundredth.

Question

asked Apr 17, 2021 158k views

1 Answer

Kurisu · Answer 1 · 2021-04-23T05:56:53+0000

Answer:

Sum = 1.67

Explanation:

Given:

1.5x^2 - 2.5x -1.5 = 0

Required

Determine the sum of the solutions

This question will be answered using quadratic formula:

$x = (-b\±√(b^2 - 4ac))/(2a)$

Where:

a = 1.5

b = -2.5

c = -1.5

So, we have:

$x = (-(-2.5)\±√((-2.5)^2 - 4*1.5*-1.5))/(2*1.5)$

$x = (2.5\±√(6.25 +9))/(3)$

$x = (2.5\±√(15.25))/(3)$

$x = (2.5\±3.91)/(3)$

x = (2.5+3.91)/(3) or
x = (2.5-3.91)/(3)

The sum of the solution is then calculated as:

Sum = (2.5+3.91)/(3) + (2.5-3.91)/(3)

Take L.C.M

Sum = (2.5+3.91+2.5-3.91)/(3)

Sum = (5)/(3)

Sum = 1.67