Quadratic equations

User Generated

wonggyr

Mathematics

Description

Solve the two problems with quadratic equations by two main methods: factoring and using the quadratic formula

6x2 + 7x – 20 = 0

m2 + 2m = 8

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

Here's the solution file.:) :)

Q1: - 6𝑥 2 + 7𝑥 − 20 = 0
Sol: By factoring
6𝑥 2 + 7𝑥 − 20 = 0
6𝑥 2 + 15𝑥 − 8𝑥 − 20 = 0
3𝑥(2𝑥 + 5) − 4(2𝑥 + 5) = 0
(2𝑥 + 5)(3𝑥 − 4) = 0
(2𝑥 + 5) = 0 𝑜𝑟 (3𝑥 − 4) = 0
2𝑥 + 5 = 0 𝑜𝑟 3𝑥 − 4 = 0
2𝑥 = −5 𝑜𝑟 3𝑥 = 4
𝑥=−

5
4
𝑜𝑟 𝑥 =
2
3

Hence
By quadratic formula
Given
6𝑥 2 + 7𝑥 − 20 = 0
Here
𝑎 = 6, 𝑏 = 7, 𝑐 = −20
Putting in the quadratic formula, we get
−𝑏 ± √𝑏 2 − 4𝑎𝑐
𝑥=
2𝑎
−(7) ± √(7)2 − 4(6)(−20)
𝑥=
2(6)
𝑥=

−7 ± �...


Anonymous
Very useful material for studying!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags