Write each quadratic equation in the standard form ax² + bx + c = 0, where a > 0, and identify the values of a, b, and, c
1. 4x² = -15
2. 2x = 6x² -7
3. 2x² = 7 -4x
4. 5 + 2x = 7x² - 7
5. 5x² - 8x - 5 = 15
6. x² - x + 3 = 4x² - 5
7. 2x² = 7 - 4x
8. x + 3 = (2 - x)²
9. 3x(2 + 2x) = x(5x - 5)
10. 2x² + x(x - 2) = 7
1. 4x² = -15
2. 2x = 6x² -7
3. 2x² = 7 -4x
4. 5 + 2x = 7x² - 7
5. 5x² - 8x - 5 = 15
6. x² - x + 3 = 4x² - 5
7. 2x² = 7 - 4x
8. x + 3 = (2 - x)²
9. 3x(2 + 2x) = x(5x - 5)
10. 2x² + x(x - 2) = 7
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Answer:
1. 4x² = -15
Standard Form : 4x² + 15 = 0
a : 4
b : 0
c : 15
2. 2x = 6x² -7
Standard Form : -6x² + 2x + 7 = 0
a : -6
b : 2
c : 7
3. 2x² = 7 - 4x
Standard Form : 2x² + 4x - 7 = 0
a : 2
b : 4
c : -7
4. 5 + 2x = 7x² - 7
Standard Form : -7x² + 2x + 12 = 0
a : -7
b : 2
c : 12
5. 5x² - 8x - 5 = 15
Standard Form : 5x² - 8x - 20 = 0
a : 5
b : -8
c : -20
6. x² - x + 3 = 4x² - 5
Standard Form : -3x² - x + 8 = 0
a : -3
b : -1
c : 8
7. 2x² = 7 - 4x
Standard Form : 2x² + 4x - 7 = 0
a : 2
b : 4
c : 7
8. x + 3 = (2 - x)²
x + 3 = (2 - x)(2 - x)
x + 3 = 4 - 2x - 2x + x²
x² + 4x + x + 3 - 4 = 0
x² + 5x - 1 = 0
Standard Form : x² + 5x - 1 = 0
a : 1
b : 5
c : -1
9. 3x(2 + 2x) = x(5x - 5)
6x + 6x² = 5x² - 5x = 0
6x² - 5x² + 6x + 5x = 0
x² + 11x = 0
Standard Form : x² + 11x = 0
a : 1
b : 11
c : 0
10. 2x² + x(x - 2) = 7
2x² + x² - 2x - 7 = 0
3x² - 2x - 7 = 0
Standard Form : 3x² - 2x - 7 = 0
a : 3
b : -2
c : -7