All categories

3 years ago

Solve for x in the equation x^2 + 2x+ 1 = 17.

Mathematics

1 answer:

muminat3 years ago

7 0

Answer:

first, subtract 17 on both sides: x²+2x-16=0

this cannot be factored, so use the quadratic formula to solve for x:

b²-4ac=2²-4(10(-16)=4+64=68

√68=2√17

so x=(-2+2√17)/2 or x=(-2-2√17)/2

x=-1+√17 or x=-1-√17

Step-by-step explanation:

You might be interested in

Simplify. (–28xy) ÷ (4) –7xy 7xy -1/7xy 1/7xy

Colt1911 [192]

-28xy/4

-7xy

Therefore, the first answer is correct.

Hope this helps!

6 0

2 years ago

Which equation has x = –6 as the solution?

olya-2409 [2.1K]

Answer:

The equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. $\log _3\left(-2x-3\right)=2$ has x = –6 as the solution.

Step-by-step explanation:

Checking the equation

log Subscript 3 Baseline (negative 2 x minus 3) = 2

Writing in algebraic expression

$\log _3\left(-2x-3\right)=2$

Use the logarithmic definition

$\mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c$

$\log _3\left(-2x-3\right)=2\quad \Rightarrow \quad \:-2x-3=3^2$

$-2x-3=3^2$

$-2x-3=9$

$-2x=12$

$\mathrm{Divide\:both\:sides\:by\:}-2$

$\frac{-2x}{-2}=\frac{12}{-2}$

$x=-6$

Therefore, the equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. $\log _3\left(-2x-3\right)=2$ has x = –6 as the solution.

3 0

3 years ago

Read 2 more answers

A diner has a breakfast special. A customer can chose scrambled, fried, or poached eggs. The breakfast comes with a side of baco

Kryger [21]

3x3x3=27

So, there are 27 combinations.

3 0

2 years ago

Read 2 more answers

How do I solve this?

Tju [1.3M]

Answer: A: 3x^2y^(3/2)

Step-by-step explanation:

This can be written as

(81*x^8*y^6)^(1/4)

Then multiply each exponent by (1/4):

81^(1/4)*x^(8(1/4))y^6(1/4))

81^(1/4) = 3

x^(8(1/4)) = x^2

y^6(1/4)) = y^(3/2)

The result: 3x^2y^(3/2)

7 0

2 years ago

Simplify (leave in exponential form) 7^-2

Tamiku [17]

7^-2= 1/7^2
= 1/14
= 0.071429

7 0

2 years ago

Read 2 more answers