Problem Set: Completing the Square¶
Probem 1.¶
olve the quadratic equation \(x^2 - 6x + 5 = 0\) by completing the square.
Probem 2.¶
Find the roots of the equation \(x^2 + 8x + 15 = 0\) using the method of completing the square.
Probem 3.¶
Solve the quadratic equation \(2x^2 - 4x - 6 = 0\) by completing the square.
Probem 4.¶
Find the solutions to the equation \(3x^2 - 12x + 7 = 0\) using the completing the square method.
Probem 5.¶
Complete the square to solve \(4x^2 + 20x + 25 = 0\).
Probem 6.¶
Solve the quadratic equation \(x^2 + 6x - 7 = 0\) by completing the square.
Probem 7.¶
Find the roots of \(x^2 - 10x + 24 = 0\) using the method of completing the square.
Probem 8.¶
Solve \(5x^2 + 14x - 3 = 0\) by completing the square.
Probem 9.¶
Find the solutions to the quadratic equation \(x^2 + 2x - 8 = 0\) using the completing the square method.
Probem 10.¶
Complete the square to solve \(6x^2 - 5x - 6 = 0\).
Probem 11.¶
Solve the quadratic equation \(x^2 - 8x + 16 = 0\) by completing the square.
Probem 12.¶
Find the roots of \(2x^2 + 4x - 3 = 0\) using the completing the square method.
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