Use the quadratic formula to solve exactly for x :
Problem 1 :
(x + 2) (x - 1) = 2 - 3x
Problem 2 :
(2x + 1)2 = 3 - x
Problem 3 :
(x - 2)2 = 1 + x
Problem 4 :
Problem 5 :
Problem 6 :
Solve the quadratic equation by taking square roots :
Problem 1 :
x² + 8x + 16 = 9
Problem 2 :
x² - 6x + 9 = 25
Problem 3 :
x² - 12x + 36 = 49
Problem 4 :
2x² - 12x + 18 = 32
Problem 5 :
4x² - 4x + 1 = 36
1) x = -1, x = -7
2) x = 8, x = -2
3) x = 13, x = -1
4) x = 7, x = -1
5) x = 7/2 and x = -5/2
Solve the quadratic equation by taking square roots :
Problem 1 :
5x² - 20x + 20 = 35
Problem 2 :
x² - 2/3x + 1/9 = 1
Problem 3 :
x² + 3/2x + 9/16 = 3
Problem 4 :
9x² + 12x + 4 = 5
1) x = 2 + √7 and x = 2 - √7
2) x = 4/3 x = -2/3
3) x = ± √3 - 3/4
4) x = √5/3 - 2/3 or x = -√5/3 - 2/3
Solve the equation.
Problem 1 :
x² = 289
Problem 2 :
x² - 169 = 0
Problem 3 :
2x² - 512 = 0
Problem 4 :
3x² - 150 = 282
Problem 5 :
1/2x² - 8 = 16
Problem 6 :
(2/3)x² - 4 = 12
Problem 7 :
2x² + 5 = 5x² - 37
Problem 8 :
4(x² - 8) = 84
Problem 9 :
3(x² + 2) = 18
Problem 10 :
2(x + 2)² = 72
Problem 11 :
3(x - 3)² + 2 = 26
Problem 12 :
(3x + 2)² - 49 = 0
1) x = ±17 2) x = ±13 3) x = ±16 4) x = ±12 5) x = ±4√3 6) x = ±2√6 |
7) x = ±√14 8) x = ±√29 9) x = ±2√2 10) x = 4 and x = -8 11) x = 3+2√2 and x = 3-2√2 12) x = 10 and x = -4 |
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM