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2 years ago

Solve the equation x^2+6x= -11/4

Mathematics

1 answer:

xxTIMURxx [149]2 years ago

8 0

Answer:

Step-by-step explanation:

First, move the -11/4 to the other side, so the expression can equal 0.

$x^2+6x+11/4=0$

To make the equation easier to work with, multiply both sides by 4, cancelling out the fraction.

$4x^2+24x+11=0$

There are many ways to solve a quadratic equation (factoring, quadratic formula, completing the square).

Solving this equation by factoring is the easiest. Factoring with a leading coefficient greater than one can be difficult and there are many ways to accomplish it. The way I'm going to do it is to first find the factors of $4x^2$ and then the factors of 11. And then multiply across, add the middle terms (derived from multiplying) and try to make it equal 24x.

$4x^2$ : 24x 11:

2x 22x 11

2x 2x 1

24x (works)

I'll then take the factors diagonal. (2x+1)(2x+11)=0

So $x=-\frac{1}{2}, -\frac{11}{2}$

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Find all numbers whose absolute value is 3 . If there is more than one, separate them with commas. If there are no such numbers,

adelina 88 [10]

Answer:

3, and -3

Step-by-step explanation:

Because absolute value is the distance away from zero, |3| and |-3| would both be 3 units away from 0. Be sure to have the negative on the inside if you're trying to make something positive, otherwise -|3| means that the absolute value of 3 would then become negative since the negative sign isn't a part of the absolute. hope this helps!

3 0

3 years ago

I need some help with this, I am supposed to solve for x

liq [111]

They are the same measurements, because:

from 10x + 5, first do vertical angle.

then, alternate interior angle,

then vertical angle again,

and another alternate interior angle.

For each vertical and alternate interior angles, the measurements stay the same.

Set them equal to each other, isolate and solve for x.

10x + 5 = 11x - 1

First, isolate the x. Subtract 10x from both sides, and add 1 to both sides

10x (-10x) + 5 (+1) = 11x (-10x) -1 (+1)

Simplify

5 + 1 = 11x - 10x

6 = x

x = 6

6 is your answer for x.

hope this helps

3 0

4 years ago

3x^2 -5x -2=0

Kipish [7]

Answer:

Step-by-step explanation:

1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)

Two numbers that work are -6 and +1

-6 x +1 = -6

-6 + -1 = -5

2. Split the middle term into the two numbers that you found.

3x^2 -6x +x -2 = 0

I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'

3x (x-2) +1 (x-2) = 0

4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.

(3x + 1) (x-2) = 0

5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.

3x + 1 = 0 x-2 = 0

3x = -1 x = 2

x = -1/3

6. The solutions to this equation are x = 2 and x = -1/3

6 0

3 years ago

Read 2 more answers

Shaquil needs to borrow $400. The loan company charges him $80 in fees for the loan. Shaquil calculates that the annual percenta

lesya [120]

Answer:

(B)

Step-by-step explanation: