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wlad13 [49]

The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

<h3>What is a quadratic equation?</h3>

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

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

We have an equation:

x(x + 4) = 6

By distributive property:

x² + 4x = 6

x² + 4x - 6 = 0

a = 1, b = 4, c = -6

Plugging all the values in the formula:

$\rm x = \dfrac{-4 \pm\sqrt{4^2-4(1)(-6)}}{2(1)}$

After calculating:

$\rm x = \dfrac{-4 \pm\sqrt{40}}{2}$

$\rm x=-2+\sqrt{10},\ \ \ or \ \ \ x=-2-\sqrt{10}$

Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

Learn more about quadratic equations here:

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6 0

2 years ago

Read 2 more answers

Please help this is super urgent!!!

Leviafan [203]

Answer:

A number line with an open circle on 2, a closed circle on 6, and shading in between

Step-by-step explanation:

Given:

3x+1 > 7 → inequality A

4x ≤ 24 → inequality B

Step 1

Solve inequality A

3x+1>7

3x>7-1

x>2

the solution is the interval------> (2,∞)

Step 2

Solve inequality B

4 x ≤ 24

4 ≤ 6

the solution is the interval------> (-∞,6]

Step 3

Find the solution of the compound inequality

Solution A ∩ Solution B

(2,∞) ∩ (-∞,6]=(2,6]

therefore

The answer is A number line with an open circle on 2, a closed circle on 6, and shading in between

3 0

2 years ago

Read 2 more answers

What is an equation of the line that passes through the point (8,-5) and is parallel

HACTEHA [7]

Answer:

y=-5/4x+5

Step-by-step explanation:

Hi there!

We're given the line 5x+4y=24 and we want to find the line parallel to it that passes through (8,-5)

Parallel lines have the same slopes

First, we need to find the slope of 5x+4y=24.

We'll do that by converting 5x+4y=24 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b where m is the slope and b is the y intercept)

subtract 5x from both sides

4y=-5x+24

divide by 4 on both sides

y=-5/4x+6

since -5/4 is in the place where m should be, it is the slope.

So the equation of the line parallel to it will also have -5/4 as the slope

Here's the equation so far in slope-intercept form:

y=-5/4x+b

we need to find b

because the equation will pass through (8,-5), we can use it to solve for b

substitute 8 as x and -5 as y

-5=-5/4(8)+b

multiply

-5=-10+b

add 10 to both sides

5=b

substitute 5 as b into the equation

That's the equation of the line parallel to 5x+4y=24.

Hope this helps!

6 0

3 years ago

Why don't negative values of h and t make sense?

Anni [7]

It really depends what you're understanding or how the problem is set up.

5 0

3 years ago

How do I Expand (2x − 1)^6

Veronika [31]

Answer:

well if u do this

(2x-1)(2x-1)(2x-1)(2x-1)(2x-1)(2x-1)

it would be the expanded form for (2x-1)^6

Step-by-step explanation:

i um learned it before so...

6 0

1 year ago