Answer:
1. 5g² - 7g + 4 =0
2. Already in standard form. a= 9, b = 1, c =8
3. 12x² -14x -11 = 0
Explanation:
Standard form of a quadratic is ax² + bx + c = 0
where a, b and c are constants
#1: 7g - g² = 4
Subtract 4 on both sides:
7g - g² -4 = 0
Rearrange
-g² + 7g - 4 = 0
Multiply both sides by -1
g² - 7g + 4 = 0
#3
2(3x-5) = 6x - 10
Equation becomes
6x - 10 = 1/(2x + 1)
Multiply both sides by 2x + 1
(6x - 10)(2x + 1) = 1
12x² - 20x + 6x - 10 = 1 multiplying LHS terms using FOIL
Subtract 1 from both sides
12x² (-20x + 6x) -10 - 1 =0
12x² - 14x - 11 = 0