Question

Approximate the solutions to this system.

Answer 1

Answer:

$x = \± 0.82$

$y =-3.18 \ or\ -4.82$

Step-by-step explanation:

Given

$y = 3x^2 + x - 6$

$y = x -4$

Required

The solution

First, we equate both expressions.

$y = y$

$3x^2 + x - 6 = x - 4$

Subtract x from both sides

$3x^2 - 6 = - 4$

Add 6 to both sides

$3x^2 = 2$

Divide both sides by 3

$x^2 = 0.667$

Solve for x

$x = \± \sqrt{0.667$

$x = \± 0.82$

To solve for y, we have:

$y = x -4$

This gives

$y = \± 0.82 - 4$

Split

$y = 0.82 - 4 \ or\ -0.82 - 4$

$y =-3.18 \ or\ -4.82$