find the solutions of x² - 6x -15 = 0 by completing the square
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find the solutions of x² - 6x -15 = 0 by completing the square
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Answer:
x1= -2√6+3, x2= 2√6+3
Step-by-step explanation:
x² - 6x - 15 = 0
Move the constant to the right.
x²-6x=15
add (6/2)²to both sides to the equation.
x²-6x+(6/2)² 15 + (6/2)²
Using a² -2ab+b² =(a-b) Factor the expression.
(x-6/2)² = 15 + (6/2)²
reduce the fraction.
(x-6/2)² =24
↓
(x-3)²=24
Solve the equation for x.
x=-2√6+3
x=2√6+3
SO THE ANSWERS IS
X1= -2√6+3, X2 = 2√6+3