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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 β 20 = 0

m2 + 2m = 8

Bilal_Mursaleen
School: New York University

Here's the solution file.:) :)

Q1: - 6π₯ 2 + 7π₯ β 20 = 0
Sol: By factoring
6π₯ 2 + 7π₯ β 20 = 0
6π₯ 2 + 15π₯ β 8π₯ β 20 = 0
3π₯(2π₯ + 5) β 4(2π₯ + 5) = 0
(2π₯ + 5)(3π₯ β 4) = 0
(2π₯ + 5) = 0 ππ (3π₯ β 4) = 0
2π₯ + 5 = 0 ππ 3π₯ β 4 = 0
2π₯ = β5 ππ 3π₯ = 4
π₯=β

5
4
ππ π₯ =
2
3

Hence
Given
6π₯ 2 + 7π₯ β 20 = 0
Here
π = 6, π = 7, π = β20
Putting in the quadratic formula, we get
βπ Β± βπ 2 β 4ππ
π₯=
2π
β(7) Β± β(7)2 β 4(6)(β20)
π₯=
2(6)
π₯=

β7 Β± β...

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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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