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3 years ago

An error has been made in subtracting the two polynomials shown in the work below the problem is (6x^2-4x-5)-(3x^2-7x=2)

Mathematics

1 answer:

MissTica3 years ago

7 0

Answer/Step-by-step explanation:

Let's work out the subtraction of the polynomial to find out where the error is and the correct result we should have.

6x² - 4x - 5

- 3x² - 7x + 2

= [6x² - 3x²] [-4x -(-7x)] [-5 -(+2)]

= 3x² + 3x - 7

The error that was made in the subtraction given in the question was that the negative signs before the terms, 7x and 5 were ignored while subtracting.

The sign is very important, it defines the value of the term.

We can choose to solve the problem in another way shown below:

(6x² - 4x - 5) - (3x² - 7x + 2)

Distributive the negative sign in the second polynomial

6x² - 4x - 5 - 3x² + 7x - 2

Combine like terms

6x² - 3x² - 4x + 7x - 5 - 2

3x² + 3x - 7

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Simplify -3d^8(-4d^-14). Assume d =/ 0

Alenkinab [10]

Answer:

$\frac{12}{d^6}$

Step-by-step explanation:

$-3d^8\left(-4d^{-14}\right)$

Double negative = Positive:

$3d^8*4d^{-14}$

Apply negative exponent formula:

$3*d^8*4*\frac{1}{d^{14}}$

Multiply:

$\frac{12d^8}{d^{14}}$

Apply exponent rule: $\frac{x^a}{x^b}=\frac{1}{x^{b-a}}$

Thus, $\frac{12}{d^{14-8}}$

Simplify:

$\frac{12}{d^6}$

8 0

3 years ago

Solve for 2x^2-4x+5=6

Softa [21]

To solve for a variable, you need to get it (x) by itself.

2x² - 4x + 5 = 6 Subtract 6 from both sides
2x² - 4x - 1 = 0 Plug this into the Quadratic Formula

a = 2 , b = -4 , c = -1
x = $\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}$ Plug in your values
x = $\frac{-(-4) \pm \sqrt{(-4)^2 - 4(2)(-1)} }{2(2)}$ Simplify
x = $\frac{4 \pm \sqrt{16 + 8} }{4}$ Simplify
x = $\frac{4 \pm 2\sqrt{6} }{4}$ Simplify by removing a 2 from every term
x = $\frac{2 \pm \sqrt{6} }{2}$ Simplify by taking the fraction apart
x = $\frac{2}{2} \pm \frac{ \sqrt{6} }{2}$ Change $\frac{2}{2}$ to 1
x = 1 $\pm \frac{ \sqrt{6} }{2}$ Simplify $\frac{ \sqrt{6} }{2}$ to $\sqrt{ \frac{3}{2} }$
x = 1 $\pm \sqrt{ \frac{3}{2} }$

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3 years ago

Solve the system of equations

Veseljchak [2.6K]

Answer:

Option c is right:

(-6 , 2)

Step-by-step explanation:

( -6 , 2)

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3 years ago

4/7+3/7 1/5.3/2-4/10

Westkost [7]

Answer:

3/10

Step-by-step explanation:

=4/7 + 9/70 - 4/10

=l.C.M of 7 , 70 and 10 =70

=4/7 .10/10 +9/70 -4/10 .7/7

=40/70 +9/70 -28/70

=40+9-28/70

=49-28/70

=21/70

=3/10

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2 years ago

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Answer:

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