All categories

3 years ago

What is the most convenient method to solve the quadratic equation ( x + 4 )² = 15

Mathematics

2 answers:

Mademuasel [1]3 years ago

8 0

Answer:

Step-by-step explanation:

IgorC [24]3 years ago

7 0

Answer:

Factoring

Step-by-step explanation:

(x+4)² = 15

x² + 8x + 16 = 15

x² + 8x + 1 = 0

$x = \frac{ - 8 + \sqrt{64 - 4} }{2} = - 4 + \sqrt{15} \\ \\ x = \frac{ - 8 - \sqrt{64 - 4} }{2} = - 4 - \sqrt{15}$

I hope this helps you :)

You might be interested in

Find the vertex of the parabola.

Gnesinka [82]

Answer:

The vertex is (3,4)

Step-by-step explanation:

f (x) = x^2 - 6 x + 13

Completing the square

-6/2 = -3 and squaring it = 9

= x^2 -6x +9 +4

= ( x-3) ^2 +4

The equation is now in vertex form

a( x-h) ^2 +k

where the vertex is ( h,k)

The vertex is (3,4)

4 0

3 years ago

The average of five distinct scores has the same value as the median of the five scores. The sum of the five scores is 420. What

givi [52]

Answer:

The sum of five scores that is not the median is, 336

Step-by-step explanation:

Average defined as the the sum of the observation to the total number of the observation.

Given: The sum of the five scores is 420

Then, by definition of average;

Average of five distinct score = $\frac{420}{5} = 84$

It is also, given that the average of five distinct scores has the same value as the median of the five scores.

⇒Median of five scores = 84

Since, scores are distinct, therefore

Sum of all scores that is not the median = Sum of five scores - median = 420-84 = 336

therefore, the sum of five scores that is not the median is, 336

3 0

3 years ago

5/18 x 3/4 simplify

Lesechka [4]

Answer:

5/24

Step-by-step explanation:

Find a common denominator and multiply, then convert to its simplest form.

3 0

3 years ago

Can someone help please!!

d1i1m1o1n [39]

Answer:

75.39 in^2 (round to the nearest hundreds)

Step-by-step explanation:

I think that we have to find the lateral area

circumference = 2 x radius x pi = 2 x 4 x pi = 25,13 in^2 (round to the nearest hundreds)

lateral surface = (circumference x slant height)/2 = (25,13 x 6)/2 = 75,39 in^2 (round to the nearest hundreds)

3 0

3 years ago

Six nickel is what Percent of a dollar

oksano4ka [1.4K]

30%.
6 nickels equal 30 pennies, and 100 pennies make up a dollar.
30/100 = 30%.

6 0

3 years ago

Read 2 more answers