x square+ 14x + 16
Please answer it fast
Answers
Answer:
by splitting the middle term it can be done
or
can be by using formula
+-b√-b+4ac/2ac
Answer:
here's ur answer according to my knowledge..
Step-by-step explanation:
Solving -16 + 14x + x2 = 0
Solving for variable 'x'.
Begin completing the square.
.Move the constant term to the right: Add '16' to each side of the equation.
-16 + 14x + 16 + x2 = 0 + 16 Reorder the terms: -16 + 16 + 14x + x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 14x + x2 = 0 + 16 14x + x2 = 0 + 16 Combine like terms: 0 + 16 = 16 14x + x2 = 16
The x term is 14x.
Take half its coefficient (7).
Square it (49) and add it to both sides.
Add '49' to each side of the equation.
14x + 49 + x2 = 16 + 49 Reorder the terms: 49 + 14x + x2 = 16 + 49
Combine like terms: 16 + 49 = 65 49 + 14x + x2 = 65.
Factor a perfect square on the left side: (x + 7)(x + 7) = 65
Calculate the square root of the right side: 8.062257748 Break this problem into two subproblems by setting (x + 7) equal to 8.062257748 and -8.062257748.
●Subproblem 1
x + 7 = 8.062257748
Simplifying x + 7 = 8.062257748
Reorder the terms: 7 + x = 8.062257748
Solving 7 + x = 8.062257748
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7' to each side of the equation. 7 + -7 + x = 8.062257748 + -7 Combine like terms: 7 + -7 = 0 0 + x = 8.062257748 + -7 x = 8.062257748 + -7
Combine like terms: 8.062257748 + -7 = 1.062257748 x = 1.062257748 Simplifying x = 1.062257748
●Subproblem 2
x + 7 = -8.062257748
Simplifying x + 7 = -8.062257748
Reorder the terms: 7 + x = -8.062257748
Solving 7 + x = -8.062257748
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7' to each side of the equation. 7 + -7 + x = -8.062257748 + -7 Combine like terms: 7 + -7 = 0 0 + x = -8.062257748 + -7 x = -8.062257748 + -7 Combine like terms: -8.062257748 + -7 = -15.062257748 x = -15.062257748 Simplifying x = -15.062257748
●Solution:
The solution to the problem is based on the solutions from the subproblems. x = {1.062257748, -15.062257748}
hope it's helpful
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