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aleksley [76]
4 years ago
9

Use the quadratic formula to solve the equation. x2+7x−4=0 Enter your answers as decimals rounded to the nearest tenth in the bo

xes. Enter the number only. Do not include the "x ="
Mathematics
1 answer:
dsp734 years ago
5 0

Answer:The solutions are

[0.5, - 7.5]

Step-by-step explanation:

The given quadratic equation is expressed as

x² + 7x - 4 = 0

The given quadratic equation is already in the standard form of

ax² + bx + c

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 1

b = 7

c = - 4

Therefore,

x = [- 7 ± √(7² - 4 × 1 × - 4)]/2 × 1

x = [- 7 ± √(49 - - 16)]/2

x = [- 7 ± √65]/2

x = (- 7 + √65)/2 or x = (- 7 - √65)/2

x = (- 7 + 8.06)/2 or x = (- 7 - 8.06)/2

x = 0.5 or x = - 7.5

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What is 2.1x(1+4.2x)=5.3
LenKa [72]

Simplifying

2.1x + -1(1 + 4.2x) = 5.3

2.1x + (1 * -1 + 4.2x * -1) = 5.3

2.1x + (-1 + -4.2x) = 5.3

Reorder the terms:

-1 + 2.1x + -4.2x = 5.3

Combine like terms: 2.1x + -4.2x = -2.1x

-1 + -2.1x = 5.3

Solving

-1 + -2.1x = 5.3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + -2.1x = 5.3 + 1

Combine like terms: -1 + 1 = 0

0 + -2.1x = 5.3 + 1

-2.1x = 5.3 + 1

Combine like terms: 5.3 + 1 = 6.3

-2.1x = 6.3

Divide each side by '-2.1'.

x = -3

Simplifying

x = -3

Hope i was helpful!


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3 years ago
E
pantera1 [17]

Answer:

The wall is 15 FT tall

Step-by-step explanation:

Add 5 and 10

8 0
3 years ago
Point is (-4,-1) and parallel to the line 3x <br> -2y=4
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3 years ago
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Kerry likes bracelets she has 10 in her collection her father decided to buy her 2 more bracelets what is the percent increase o
Nitella [24]

Answer:

20% increase

Step-by-step explanation:

To find the percent increase, divide the difference in the number of bracelets by the original number:

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= 0.2

So, the percent increase was 20%

4 0
3 years ago
Two consecutive whole number that lies between the square root of 38
Semenov [28]
√38

Let's name all the squares.
1² = 1 x 1 = 1
2² = 2 x 2 = 4
3² = 3 x 3 = 9
4² = 4 x 4 = 16
5² = 5 x 5 = 25
6² = 6 x 6 = 36
7² = 7 x 7 = 49
8² = 8 x 8 = 64

Okay that's far enough. Now we look for which numbers 38 is in between.
That would be 36 and 49.
But it's asking for where the square root of 38 is, so √36 and √49 ⇒ 6 and 7.
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4 years ago
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