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3 years ago

Solve for x x^2 + 6x + 1 = 0

Mathematics

1 answer:

anygoal [31]3 years ago

6 0

Answer:

x = -.1715 ≈ - .172 or x = -5.83

Step-by-step explanation:

x² + 6x + 1 = 0

x² + 6x = -1

Complete the square Add to both sides (1/2 of the x-term, then square it.)

x² + 6x + 9 = -1 + 9

(x + 3)(x + 3) = 8

(x + 3)² = 8

$\sqrt{(x + 3)^{2}$ = $\sqrt{8}$

x + 3 = ± $\sqrt{8}$

x = -3 ± $\sqrt{8}$

x = -3 + $\sqrt{8}$ or x = -3 - $\sqrt{8}$

x = -.1715 ≈ - .172 or x = -5.83

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3 years ago

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For a particular event, 771 tickets were sold for a total of $3037. If students paid $3 per ticket and non-students paid $5

BlackZzzverrR [31]

Answer:

Number of student tickets were sold = 409

Step-by-step explanation:

Total number of tickets sold = 771

I.e Students ticket (S) + Non students ticket(N S) = 771

Total amount to be paid for tickets = $ 3037

Amount paid by students per tickets = $3

Amount paid by non-students per tickets = $5

So, according to question

S + NS = 771

3 S + 5 NS = 3037

Solve both equations

5 S + 5 NS = 771 × 5

3 S + 5 NS = 3037

so ,

(5 S + 5 NS) - (3 S + 5 NS ) = 3855 - 3037

Or, 2 S = 818

I.e S = $\frac{818}{2}$ = 409

Hence, The number of student tickets were sold = 409 Answer

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3 years ago

Find the discriminant of 2x square + x - 6 is equal to zero?

Igoryamba

Answer:

When the discriminant value is zero, we get one real solution; When the discriminant value is negative, we get a pair of complex solutions; Standard Form. The standard discriminant form for the quadratic equation ax 2 + bx + c = 0 is. Discriminant, D = b 2 – 4ac. Where. a is the coefficient of x 2. b is the coefficient of x. c is a constant term.

Estimated Reading Time: 50 secs

Step-by-step explanation:

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3 years ago

0.00000018 in scientific notation

Naddik [55]

Answer:

$1.8 \times {10}^{ - 7}$

Step-by-step explanation:

$0.00000018 = 1.8 \times {10}^{ - 7} \\$

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3 years ago

1) $740 at 12% compounded monthly for 8 years

Vinil7 [7]

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3 years ago