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liraira [26]
3 years ago
4

Match each quadratic equation with its solution set

Mathematics
1 answer:
Vinvika [58]3 years ago
4 0
You missed the equations......

2x2 − 32 = 0.............a
4x2 − 100 = 0...........b
x2 − 55 = 9...............c
x2 − 140 = -19..........d
<span>2x2 − 18 = 0.............e

Answers

a => x = (+4,-4)
</span>
b => x = (+5,-5)

c=> x = (+8,-8)

d => x = (+11,-11)

e => x = (+3,-3)
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<img src="https://tex.z-dn.net/?f=%283x-1%29%5E%7B2%7D%20%2B%2012x-4%3D0" id="TexFormula1" title="(3x-1)^{2} + 12x-4=0" alt="(3x
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Your answer is x = 1/3 or x = -1
To solve I would start by expanding the bracket and then collecting like-terms, and then re-factoring:
(3x - 1)² + 12x - 4 = 0
9x² - 6x + 1 + 12x - 4 = 0
9x² + 6x - 3 = 0
3(3x² + 2x - 1) = 0
From here you can factorise the bracket even further:
3(3x - 1)(x + 1) = 0
Then divide by 3:
(3x - 1)(x + 1) = 0
3x - 1 = 0
x = 1/3

x + 1 = 0
x = -1
I hope this helps! Let me know if you have any questions :)
6 0
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