15 x² + 2ax - a² = 0 by completing square
Answers
Step-by-step explanation:
15 x² + 2ax - a² = 0 15 x² + 2ax - a² = 0 15 x² + 2ax - a² = 0 15 x² + 2ax - a² = 0 15 x² + 2ax - a² = 0
Step-by-step explanation:
Simplifying
15x2 + 2ax + -1a2 = 0
Reorder the terms:
2ax + -1a2 + 15x2 = 0
Solving
2ax + -1a2 + 15x2 = 0
Solving for variable 'a'.
Factor a trinomial.
(-1a + -3x)(a + -5x) = 0
Subproblem 1
Set the factor '(-1a + -3x)' equal to zero and attempt to solve:
Simplifying
-1a + -3x = 0
Solving
-1a + -3x = 0
Move all terms containing a to the left, all other terms to the right.
Add '3x' to each side of the equation.
-1a + -3x + 3x = 0 + 3x
Combine like terms: -3x + 3x = 0
-1a + 0 = 0 + 3x
-1a = 0 + 3x
Remove the zero:
-1a = 3x
Divide each side by '-1'.
a = -3x
Simplifying
a = -3x
Subproblem 2
Set the factor '(a + -5x)' equal to zero and attempt to solve:
Simplifying
a + -5x = 0
Solving
a + -5x = 0
Move all terms containing a to the left, all other terms to the right.
Add '5x' to each side of the equation.
a + -5x + 5x = 0 + 5x
Combine like terms: -5x + 5x = 0
a + 0 = 0 + 5x
a = 0 + 5x
Remove the zero:
a = 5x
Simplifying
a = 5x
Solution
a = {-3x, 5x}