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romanna [79]
2 years ago
10

Select the correct answer. What is the solution to the equation?

Mathematics
1 answer:
Ierofanga [76]2 years ago
8 0

Answer:

B

Step-by-step explanation:

\sqrt{x} + 6 = x ( subtract 6 from both sides )

\sqrt{x} = x - 6 ( square both sides )

x = (x - 6)² ← expand using FOIL

x = x² - 12x + 36 ( subtract x from both sides )

0 = x² - 13x + 36 , that is

x² - 13x + 36 = 0 ← in standard form

(x - 4)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 9 = 0 ⇒ x = 9

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = 4

left side = \sqrt{4} + 6 = 2 + 6 = 8

right side = x = 4

Since 8 ≠ 4 then x = 4 is an extraneous solution

x = 9

left side = \sqrt{9} + 6 = 3 + 6 = 9

right side = x = 9

Thus the solution is x = 9 → B

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TEA [102]

Answer:

Rational

Step-by-step explanation:

2^{-3} simplifies to \frac{1}{8}.

Therefore, it is rational.

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3 years ago
Factor tree of the prime factorization of number 280
Sphinxa [80]
The prime factorization number is 280 I got 2.2.5.7
8 0
3 years ago
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What is the greatest common factor of 42 ab 35ab4 and 42ab42
Lana71 [14]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Given the formula a = s2 + 3b - c , find the value of a when s = 7, b = 13 and c = -24.
galben [10]

Answer:

a = 112

Step-by-step explanation:

a =s^{2} +3b-c

Given that,

s = 7

b = 13

c = (-24)

Let's solve for a now.

a =s^{2} +3b-c

a = 7^{2} +3*13-(-24)\\

a=49+39+24\\

a=88+24

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Hope this helps you.

Let me know if you have any other questions :-)

3 0
3 years ago
PLZZZ HELP BE QUICK I'LL GIVE BRAINLEST
icang [17]

Answer:

the sum is 360 degrees, which means

360 = 124 + 124 + 2x + 2x

360 = 248 + 4x

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-4x = -112

x = 28

Check:

124 + 124 + 2(28) + 2(28) =

360

Your answer is x = 28

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4 0
2 years ago
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