Quadratic equations

Anonymous
timer Asked: Jan 31st, 2019
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Question 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

Tutor Answer

Bilal_Mursaleen
School: New York University

Here's the solution file.:) :)

Q1: - 6π‘₯ 2 + 7π‘₯ βˆ’ 20 = 0
Sol: By factoring
6π‘₯ 2 + 7π‘₯ βˆ’ 20 = 0
6π‘₯ 2 + 15π‘₯ βˆ’ 8π‘₯ βˆ’ 20 = 0
3π‘₯(2π‘₯ + 5) βˆ’ 4(2π‘₯ + 5) = 0
(2π‘₯ + 5)(3π‘₯ βˆ’ 4) = 0
(2π‘₯ + 5) = 0 π‘œπ‘Ÿ (3π‘₯ βˆ’ 4) = 0
2π‘₯ + 5 = 0 π‘œπ‘Ÿ 3π‘₯ βˆ’ 4 = 0
2π‘₯ = βˆ’5 π‘œπ‘Ÿ 3π‘₯ = 4
π‘₯=βˆ’

5
4
π‘œπ‘Ÿ π‘₯ =
2
3

Hence
By quadratic formula
Given
6π‘₯ 2 + 7π‘₯ βˆ’ 20 = 0
Here
π‘Ž = 6, 𝑏 = 7, 𝑐 = βˆ’20
Putting in the quadratic formula, we get
βˆ’π‘ Β± βˆšπ‘ 2 βˆ’ 4π‘Žπ‘
π‘₯=
2π‘Ž
βˆ’(7) Β± √(7)2 βˆ’ 4(6)(βˆ’20)
π‘₯=
2(6)
π‘₯=

βˆ’7 Β± βˆ...

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Anonymous
Tutor went the extra mile to help me with this essay. Citations were a bit shaky but I appreciated how well he handled APA styles and how ok he was to change them even though I didnt specify. Got a B+ which is believable and acceptable.

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