Math, asked by ItzZoya, 1 month ago

x square+ 14x + 16

Please answer it fast

Answers

Answered by ritabansal9466
1

Answer:

by splitting the middle term it can be done

or

can be by using formula

+-b√-b+4ac/2ac

Answered by aimanakhtar
2

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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