2 answers:
B^2 -4b -14= 0 For this equation: a=1, b=4, c=-14 Use the quadratic formula and plug in the values^ Answer: 2 + 3 square root of 2, 2 - 3 square root of 2
Simplifying b2 + -4b + -14 = 0 Reorder the terms: -14 + -4b + b2 = 0 Solving -14 + -4b + b2 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '14' to each side of the equation. -14 + -4b + 14 + b2 = 0 + 14 Reorder the terms: -14 + 14 + -4b + b2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -4b + b2 = 0 + 14 -4b + b2 = 0 + 14 Combine like terms: 0 + 14 = 14 -4b + b2 = 14 The b term is -4b. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4b + 4 + b2 = 14 + 4 Reorder the terms: 4 + -4b + b2 = 14 + 4 Combine like terms: 14 + 4 = 18 4 + -4b + b2 = 18 Factor a perfect square on the left side: (b + -2)(b + -2) = 18 Calculate the square root of the right side: 4.242640687 Break this problem into two subproblems by setting (b + -2) equal to 4.242640687 and -4.242640687. b + -2 = 4.242640687 Simplifying b + -2 = 4.242640687 Reorder the terms: -2 + b = 4.242640687 Solving -2 + b = 4.242640687 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + b = 4.242640687 + 2 Combine like terms: -2 + 2 = 0 0 + b = 4.242640687 + 2 b = 4.242640687 + 2 Combine like terms: 4.242640687 + 2 = 6.242640687 b = 6.242640687 Simplifying B = 6.242640687 Subproblem 2 b + -2 = -4.242640687 Simplifying b + -2 = -4.242640687 Reorder the terms: -2 + b = -4.242640687 Solving -2 + b = -4.242640687 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + b = -4.242640687 + 2 Combine like terms: -2 + 2 = 0 0 + b = -4.242640687 + 2 b = -4.242640687 + 2 Combine like terms: -4.242640687 + 2 = -2.242640687 b = -2.242640687 Simplifying b = -2.242640687
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