Question

The simplified form of (-1)3x(-1)6 is. A) 0. B) - 1. C) 1. D)(-1)18​

Answer 1

Answer:

Quadratic Equations

A quadratic equation is one of the form ax2 + bx + c = 0, where a, b, and c are numbers, and a is not equal to 0.

Factoring

This approach to solving equations is based on the fact that if the product of two quantities is zero, then at least one of the quantities must be zero. In other words, if a*b = 0, then either a = 0, or b = 0, or both. For more on factoring polynomials, see the review section P.3 (p.26) of the text.

Example 1.

2x2 - 5x - 12 = 0.

(2x + 3)(x - 4) = 0.

2x + 3 = 0 or x - 4 = 0.

x = -3/2, or x = 4.

Square Root Principle

If x2 = k, then x = ± sqrt(k).

Example 2.

x2 - 9 = 0.

x2 = 9.

x = 3, or x = -3.

Example 3.

Example 4.

x2 + 7 = 0.

x2 = -7.

x = ± .

Note that = = , so the solutions are

x = ± , two complex numbers.

Completing the Square

The idea behind completing the square is to rewrite the equation in a form that allows us to apply the square root principle.

Example 5.

x2 +6x - 1 = 0.

x2 +6x = 1.

x2 +6x + 9 = 1 + 9.

The 9 added to both sides came from squaring half the coefficient of x, (6/2)2 = 9. The reason for choosing this value is that now the left hand side of the equation is the square of a binomial (two term polynomial). That is why this procedure is called completing the square. [ The interested reader can see that this is true by considering (x + a)2 = x2 + 2ax + a2. To get "a" one need only divide the x-coefficient by 2. Thus, to complete the square for x2 + 2ax, one has to add a2.]

(x + 3)2 = 10.

Now we may apply the square root principle and then solve for x.

x = -3 ± sqrt(10).

Step-by-step explanation:

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Answer 2

In this question we area sked to simplify it and get this equation in its simplest form.

• Option A is the correct answer i.e. 18.

Equation is (-1)3 * (-1)6  = (-3) * (-6)

                                     = 18

• As in this question first, we are solving the brackets by the rule of BODMAS which stands for Bracket, Of, Divide, Multiplication, Addition, Subtraction.
• As in this question we will solve brackets and by multiplying one by any number we get the number itself and the sign will be negative only.
• After solving the brackets we will multiply both the number and will get 18  but the sign will be positive as the negative of both the numbers will be canceled.

CORRECT QUESTION-

The simplified form of (-1)3x(-1)6 is.

A) 18. B) - 1. C) 1. D)(-1)18​

PROJECT CODE - #SPJ2

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