Back to Course

## SS2: MATHEMATICS - 2ND TERM

0% Complete
0/0 Steps

#### Quizzes

Lesson 8, Topic 2
In Progress

# Simultaneous Equations – One Linear & One Quadratic

Lesson Progress
0% Complete

#### Topic Content:

• Simultaneous Equations – One Linear & One Quadratic

A linear equation is an equation that does not contain any powers higher than 1.

A quadratic equation is an equation with the highest power of 2.

### Example 8.2.1:

Solve the following simultaneous equations:

i. 2x + y = 4;       x2 + xy = -12
ii. x2 + y2 = 29;    x + y = 7
iii. x + y = 5;           x2 – 2y2 = 1
iv. y – 5x = 3;          x2 – y2 = -45                    (WAEC)

i. 2x + y = 4; Â  Â  Â  x2 + xy = -12

Solution:

(i) Let

x2 + xy = -12  â€¦â€¦â€¦.(i)

2x + y = 4 â€¦â€¦â€¦..(ii)

Re-write as

y = 4 – 2x    â€¦â€¦â€¦â€¦.(iii)

Substitute for y in equation (i)

x2 + x(4 – 2x) = -12

Expand brackets

â‡’ x2 + 4x – 2x2 = -12

â‡’ x2 – 2x2 + 4x + 12 = 0

â‡’ -x2 + 4x + 12 = 0

You are viewing an excerpt of this Topic. Subscribe Now to get Full Access to ALL this Subject's Topics and Quizzes for this Term!

Click on the button "Subscribe Now" below for Full Access!

### Subscribe Now

Note: If you have Already Subscribed and you are seeing this message, it means you are logged out. Please Log In using the Login Button Below to Carry on Studying!

#### Responses

1. This is very nice
I hope to see the rest on the solutions

error: Alert: Content selection is disabled!!