Solve by completing the perfect square method: 12x²-17x+6=0
Answers
Answer:
12x2 + -17x + 6 = 0
Reorder the terms:
6 + -17x + 12x2 = 0
Solving
6 + -17x + 12x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(2 + -3x)(3 + -4x) =0
Simplifying
2 + -3x = 0
Solving
2 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2
Combine like terms: 0 + -2 = -2
-3x = -2
Divide each side by '-3'.
x = 0.6666666667
Simplifying
x = 0.6666666667
Simplifying
3 + -4x = 0
Solving
3 + -4x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3
Combine like terms: 0 + -3 = -3
-4x = -3
Divide each side by '-4'.
x = 0.75
Simplifying
x = 0.75
Solution
x = {0.6666666667, 0.75}
Hope you got it
Step-by-step explanation:
Step 1:
Equation at the end of step 1 :
((22•3×2)-17x) - 6 = 0
Step 2:
Trying to factor by splitting the middle term
2.1 Factoring 12x2-17x-6
The first term is , 12x2 its coefficient is 12.
The middle term is , -17x its coefficient is -17.
The last term , "the constant", is -6.
Step 1: Multiply the coefficient of the first term
by the constant 12 • -6 = -72
Step 2: Find two factors of -72 whose sum equals
Equation at the end of