All categories

3 years ago

What is the solution to the equation √x^2+2x-25=√x+5 x = –6 x = 5 x = 6, x = –5 x = –6, x = 5

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

Answer:

x = 5, -6

Step-by-step explanation:

Step 1: Write out equation

x² + 2x - 25 = x + 5

Step 2: Move everything to one side

x² + x - 30 = 0

Step 3: Factor

(x - 5)(x + 6) = 0

Step 4: Find roots

x - 5 = 0

x = 5

x + 6 = 0

x = -6

You might be interested in

How do u solve 31 is 40% of what number? So confused?

VashaNatasha [74]

$Method\ \#1\\\\\begin{array}{ccc}31&-&40\%\\x&-&100\%\end{array}\ \ \ \ |cross\ multiply\\\\\\40x=31\cdot100\ \ \ \ |divide\ both\ sides\ by\ 40\\\\x=\frac{3100}{40}\\\\\boxed{x=77.5}$

$Method\ \#2\\\\p\%=\frac{p}{100}\to40\%=\frac{40}{100}=0.40=0.4\\\\x-the\ number\\\\40\%\ of\ the\ number\ is\ 31:\\\\0.4x=31\ \ \ \ |divide\ both\ sides\ by\ 0.4\\\boxed{x=77.5}$

6 0

3 years ago

A cell phone company dropped the price by 7%. Which expression shows the new price of the phones(p)? A 0.07p B p-1.07 C p-0.07 D

Drupady [299]

Answer:

option D

Step-by-step explanation:

Let the price be p

7% of price = 0.07p

Price after decrease = p - 0.07p

3 0

2 years ago

Factor completely 2x5 + 10x4 - 22x3.

PIT_PIT [208]

Answer: 2x³(x² + 5x - 11)

<u>Step-by-step explanation:</u>

2x⁵ + 10x⁴ - 22x³

Factor out the GCF (2x³)

2x³(x² + 5x - 11)

Since there are no values whose product is -11 and sum is +5, this cannot be factored further.

4 0

3 years ago

PLEASE HELP!!!!!! I will give points

Vlada [557]

Answer:

Of the basketball players on the team, exactly 75% of the players have heights above 180

Step-by-step explanation:

So, they are 12 basketball players in total

1 - 170 - This is 1/12

2 - 175 - This is 1/6

1 - 180 - This is 1/12

4- 185 - This is 1/3

3 - 190 - This is 1/4

1 - 195 - This is 1/12

75% (Or 3/4) have heights above 180

Therefore, the answer is B

8 0

2 years ago

Mrs Vargas is 4 years less than 4times her daughter anas age. Mrs Vargas son Leo is 3years more than two times Ana's age.If Ana

shusha [124]

Answer: 2a - 7

<u>Step-by-step explanation:</u>

Ana: a

Mrs Vargas: 4a - 4

Leo: 2a + 3

Mrs Vargas - Leo

= (4a - 4) - (2a + 3)

= 4a - 4 -2a - 3

= 2a - 7

5 0

3 years ago