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Pavlova-9 [17]
3 years ago
8

Can I have some help with this

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
3 0
5x - 20 = 4x + 2

X= a number making both expressions equivalent since the picture shows them being equal.

5x - 20 = 4x + 2

1st : We will move the terms.

Note: (anything moved to the other side of the equal sign will change signs)

5x - 4x = 2 + 20

2nd : Calculate,

1x = 22

1x = x

Meaning 1x and x are the same meaning,

x = 22

Now, we must calculate with x being 22...

5 (22) - 20

Solve by multiplying first then subtracting,

110 - 20 = 90

This means 5x - 20 = 90 and if the two expressions were equivalent then 4x + 2 should also equal 90 yet let's check...

4(22) + 2

Solve by multiplying first then subtracting,

88 + 2 = 90

90 = 90

So both expressions equal 90.

Finally, let's calculate 2x + 6 with 22 as x,

2(22) + 6

Solve by multiplying first then subtracting,

44 + 6 = 50
---------------------------------------------------------

Answer : x = 22

---------------------------------------------------------

I hope that helps you out!!

Any more questions, please just ask me!!

~ Zoey
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By the quadratic formula, the <em>solution</em> set of the <em>quadratic</em> equation is formed by two <em>real</em> roots: x₁ = 0 and x₂ = - 12.

<h3>How to find the solution of quadratic equation</h3>

Herein we have a <em>quadratic</em> equation of the form a · m² + b · m + c = 0, whose solution set can be determined by the <em>quadratic</em> formula:

x = - [b / (2 · a)] ± [1 / (2 · a)] · √(b² - 4 · a · c)      (1)

If we know that a = - 1, b = 12 and c = 0, then the solution set of the quadratic equation is:

x = - [12 / [2 · (- 1)]] ± [1 / [2 · (- 1)]] · √[12² - 4 · (- 1) · 0]

x = - 6 ± (1 / 2) · 12

x = - 6 ± 6

Then, by the quadratic formula, the <em>solution</em> set of the <em>quadratic</em> equation is formed by two <em>real</em> roots: x₁ = 0 and x₂ = - 12.

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

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