Answer:
1. 2x - 3x² = 5
Standard Form : -3x² + 2x - 5 = 0
a = -3
b = 2
c = -5
2. 4 - x² = 5x
Standard Form : -x² - 5x + 4 = 0
a = -1
b = -5
c = 4
3 (2x + 5)(x - 4) = 0
2x² - 8x + 5x - 20 = 0
2x² - 3x - 20 = 0
Standard Form : 2x² - 3x - 20 = 0
a = 2
b = -3
c = -20
4. 2x(x - 1) = 6
2x² - 2x - 6 = 0
Standard Form : 2x² - 2x - 6 = 0
b = -2
c = -6
5. (x + 1)(x + 4) = 8
x² + 4x + x + 4 = 8
x² + 5x + 4 - 8 = 0
x² + 5x - 4 = 0
Standard Form : x² + 5x - 4 = 0
a = 1
b = 5
c = -4
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Answers & Comments
Answer:
1. 2x - 3x² = 5
Standard Form : -3x² + 2x - 5 = 0
a = -3
b = 2
c = -5
2. 4 - x² = 5x
Standard Form : -x² - 5x + 4 = 0
a = -1
b = -5
c = 4
3 (2x + 5)(x - 4) = 0
2x² - 8x + 5x - 20 = 0
2x² - 3x - 20 = 0
Standard Form : 2x² - 3x - 20 = 0
a = 2
b = -3
c = -20
4. 2x(x - 1) = 6
2x² - 2x - 6 = 0
Standard Form : 2x² - 2x - 6 = 0
a = 2
b = -2
c = -6
5. (x + 1)(x + 4) = 8
x² + 4x + x + 4 = 8
x² + 5x + 4 - 8 = 0
x² + 5x - 4 = 0
Standard Form : x² + 5x - 4 = 0
a = 1
b = 5
c = -4