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
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 ± �...
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