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Cerrena [4.2K]
1 year ago
12

What are the solutions of x² + 6x - 16 = 0?

Mathematics
1 answer:
AveGali [126]1 year ago
6 0

Step-by-step explanation:

x_{1,\:2}=\frac{-6\pm \sqrt{6^2-4\cdot \:1\cdot \left(-16\right)}}{2\cdot \:1}\\\sqrt{6^2-4\cdot \:1\cdot \left(-16\right)}\\\sqrt{6^2+64}\\\sqrt{36+64}\\\sqrt{100}\\\sqrt{10^2}\\=10\\x_1=\frac{-6+10}{2\cdot \:1},\:x_2=\frac{-6-10}{2\cdot \:1}\\\\\bold{x_1:2}\\\frac{-6+10}{2\cdot \:1}\\\frac{4}{2\cdot \:1}\\\frac{4}{2}\\=2\\\\\bold{x_2:-8}\\\frac{-6-10}{2\cdot \:1}\\\frac{-16}{2\cdot \:1}\\\frac{-16}{2}\\-\frac{16}{2}\\=-8

Answer:

x₁ = 2

x₂ = -8

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Factorize: Challenge problem:<br> x^2+19x+78<br> help :)
Trava [24]

Answer:

(x + 6)(x + 13)

Step-by-step explanation:

Given

x² + 19x + 78

Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)

The factors are + 6 and + 13 , since

6 ×13 = + 78 and 6 + 13 = + 19 , then

x² + 19x + 78 = (x + 6)(x + 13) ← in factored form

3 0
3 years ago
Read 2 more answers
What is the value of the expression “three less than the quotient of ten and a number, increased by six” when n = 2?
alisha [4.7K]

Answer:

8

Step-by-step explanation:

The given expression is "three less than the quotient of ten and a number, increased by six”

The quotient of ten and a number increased by six is translated into mathematical expression as:

\frac{10}{n}+6

Three less than the quotient of ten and a number, increased by six is

(\frac{10}{n}+6)-3

When we substitute n=2, we get:

(\frac{10}{2}+6)-3

Divide to get:

(5+6)-3

Add to get:

11-3

Subtract

8

4 0
3 years ago
Question 3 of 10 What is the solution to this equation? 4(x-8) + 10 = -10 O A. x= 3 OB. x = 5 O c. x=2 O D. x= 4​
krek1111 [17]

Answer:

O A. x = 3

Step-by-step explanation:

4(x - 8) + 10 = -10

4x - 32 + 10 = -10

4x = 12

x = 3

5 0
3 years ago
if a desktop computer cost $800 and a tablet costs $400, how can someone determine how much they can buy with 20000
melisa1 [442]

Answer:

Step-by-step explanation:

divide >:)

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3 years ago
Korey is planning to open a comic book store. His store will cost $12,500 to open and will come with a $8,000 total annual opera
Phoenix [80]

Answer:

c. Korey will see an overall profit in his third year of business

Step-by-step explanation:

His cost for first year

= 12500+8000

=$ 20500

Profit first year= $12000

Net Profit first year= -$8500

Second year cost= $8000

Profit second year

= 12000+12000(0.06)

= 12000+720

=$ 12720

Net profit second year = -8500+12720-8000

= -3780

Third year

Cost = $8000

Profit= 12720+12720(0.06)

Profit=$13483.2

Net profit= 13483.2-8000-3780

Net profit= $1703.2

7 0
3 years ago
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