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2 years ago

Find all the solutions

Mathematics

1 answer:

IRINA_888 [86]2 years ago

3 0

Answer:

Step-by-step explanation:

shown in figure see there

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Is this right?? we are learning ‘applying systems of equations’

Sunny_sXe [5.5K]

No, it’s 1300 not 1350

8 0

2 years ago

Solve (x + 3)2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u –

Verdich [7]

Answer:

The solutions of the original equation are x=-5 and x=-2

Step-by-step explanation:

we have

$(x+3)^2+(x+3)-2=0$

Let

$u=(x+3)$

Rewrite the equation

$(u)^2+(u)-2=0$

Complete the square

$u^2+u=2$

$u^2+u+1/4=2+1/4$

$u^2+u+1/4=9/4$

rewrite as perfect squares

$(u+1/2)^2=9/4$

square root both sides

$(u+1/2)=\pm\frac{3}{2}$

$u=(-1/2)\pm\frac{3}{2}$

$u=(-1/2)+\frac{3}{2}=1$

$u=(-1/2)-\frac{3}{2}=-2$

the solutions are

u=-2,u=1

Alternative Method

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$(u)^2+(u)-2=0$

$a=1\\b=1\\c=-2$

substitute in the formula

$u=\frac{-1\pm\sqrt{1^{2}-4(1)(-2)}} {2(1)}$

$u=\frac{-1\pm\sqrt{9}} {2}$

$u=\frac{-1\pm3} {2}$

$u=\frac{-1+3} {2}=1$

$u=\frac{-1-3} {2}=-2$

the solutions are

u=-2,u=1

Find the solutions of the original equation

For u=-2

$-2=(x+3)$ ----> $x=-2-3=-5$

For u=1

$1=(x+3)$ ----> $x=1-3=-2$

therefore

The solutions of the original equation are

x=-5 and x=-2

4 0

3 years ago

Read 2 more answers

IF YOU SHOW THE WORK AND HOW YOU GOT THE ANSWER IF ITS RIGHT I WILL GIVE BRAINLEY 1.At Parker’s Pizza Parlor, the total cost of

Sladkaya [172]

Answer:

CBenson1031

Step-by-step explanation:

p = 5 ÷ (12.37 - 1.12)

p = 5 ÷ 11.25

p = 2.25

Step-by-step explanation:

8 0

3 years ago

I need help -3x=x-(6-2x)?

USPshnik [31]

Simplifying 3x + 6 = 2x
Reorder the terms: 6 + 3x = 2x
Solving 6 + 3x = 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation. 6 + 3x + -2x = 2x + -2x
Combine like terms: 3x + -2x = 1x 6 + 1x = 2x + -2x
Combine like terms: 2x + -2x = 0 6 + 1x = 0
Add '-6' to each side of the equation.
6 + -6 + 1x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + 1x = 0 + -6 1x = 0 + -6
Combine like terms: 0 + -6 = -6 1x = -6
Divide each side by '1'. x = -6
Simplifying x = -6
so the answer is x =-6

According to http://www.geteasysolution.com/3x+6=2x

6 0

3 years ago

The 1984 movie footloose made $8,556,965 in its opening weekend. The 2011 remake of footloose made $15,556,113 in its opening we

mezya [45]

Answer:

absolute change: $6,999,148
relative change: 81.79%

Step-by-step explanation:

The absolute change is the difference between the earnings numbers:

$15,556,113 -8,556,965 = $6,999,148

The relative change is the ratio of this difference to the original amount:

$6,999,148/$8,556,965 × 100% ≈ 81.794748% ≈ 81.79%

6 0

2 years ago