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emmainna [20.7K]
2 years ago
11

Solve the quadratic equation by using the quadratic formula. If the solutions are not real, enter NA.

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
5 0

By using the <em>quadratic</em> formula, the roots of the <em>quadratic</em> equation 2 · x² - 7 · x + 1 are represented by the <em>irrational</em> number x = (7 ± √41) / 4.

<h3>How to find the roots of quadratic equation by quadratic formula</h3>

For polynomials of the form a · x² + b · x + c = 0, the two roots can be found analytically by <em>quadratic</em> formula, whose expression is described below:

x = \frac{-b \pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}    

If we know that a = 2, b = - 7 and c = 1, then the roots of the polynomial are:

x = 7/4 ± (1/4) · √41

x = (7 ± √41) / 4

By using the <em>quadratic</em> formula, the roots of the <em>quadratic</em> equation 2 · x² - 7 · x + 1 are represented by the <em>irrational</em> number x = (7 ± √41) / 4.

To learn more on quadratic equations: brainly.com/question/17177510

#SPJ1

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3 years ago
One number exceeds another number by 6. One fourth of the sum of the two numbers is two less than the smaller.
dolphi86 [110]

Answer:

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Step-by-step explanation:

let the 2 numbers be x and y , x > y , then

x = y + 6 → (1)

\frac{1}{4} (x + y) = y - 2 ( multiply both sides by 4 to clear the fraction )

x + y = 4y - 8 ( subtract 4y from both sides )

x - 3y = - 8 → (2)

Substitute x = y + 6 into (2)

y + 6 - 3y = - 8

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y = 7

Substitute y = 7 into (1)

x = 7 + 6 = 13

The 2 numbers are 7 and 13

4 0
3 years ago
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andrew-mc [135]

Answer:

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Step-by-step explanation:

We want to isolate v.

Method 1:  subtract 40 from both sides, obtaining  169 = -v.  Then change the sign of both sides, arriving at v = -169.

Method 2:  Add v to both sides.  Then v + 209 = 40.

Now subtract 209 from both sides, obtaining -169.

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3 years ago
Jordan used 8 centimeters of tape to wrap 2 presents. How much tape will Jordan need in all
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Answer:

32

Step-by-step explanation:

8×4=32 since you wrap two presents with 8

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3 years ago
Write a number that is 10 times what the 6 represents in 36429
artcher [175]
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3 years ago
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