a
с
2
Direction: Write each quadratic equation in standard form, ax2 + bx + c = 0 then identify the values of a, b, and c.
1) 3x – 2×2 = 7
Standard form
b
– 3 -7
2) 5 – 2×2 = 6x
5
10
3) 10 + x2 – 5x = 0
2
-16
4) (2x + 7)(x – 1) = 0
-49
2
5) 2x(x-3) = 15
-7
Step-by-step explanation:
1) 3x – 2x² = 7
Standard Form : -2x² + 3x – 7 = 0
: -2x² + 3x – 7 = 0a = -2
: -2x² + 3x – 7 = 0a = -2b = 3
: -2x² + 3x – 7 = 0a = -2b = 3c = -7
2) 5 – 2x² = 6x
Standard Form : -2x² – 6x + 5 = 0
-2x² – 6x + 5 = 0a = -2
-2x² – 6x + 5 = 0a = -2b = -6
-2x² – 6x + 5 = 0a = -2b = -6c = 5
3) 10 + x² – 5x = 0
Standard Form : x² – 5x + 10 = 0
a = 1
b = –5
c = 10
4) (2x + 7)(x – 1) = 0
2x² – 2x + 7x – 7 = 0
2x² + 5x – 7 = 0
Standard Form : 2x² + 5x – 7 = 0
a = 2
b = 5
c = –7
5) 2x(x-3) = 15
2x² – 6x = 15
2x² – 6x – 15 = 0
Standard Form : 2x² – 6x – 15 = 0
a = 2
b = –6
c = –15
