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Irina-Kira [14]
3 years ago
13

Solve the quadratic equation. (a + 5)2 +36 = 9

Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Answer:

No solution unless you want to solve for an imaginary number which in that case a=27i-5

Step-by-step explanation:

(a+5)^{2} +36=9

(a+5)^2=-27

a+5=\sqrt{-27}

Here you can stop and say "no solution" since you cannot square root a negative number, but if you want you can still solve for an imaginary number:

a+5=\sqrt{-1} \sqrt{27}

a+5=27i

a=27i-5

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Anna made an error in determining the polynomial equation of smallest degree whose roots are -4,-2, -
nalin [4]

Answer:

See explanation

Step-by-step explanation:

Ana started the work nicely by multiplying out factors to get:\

(x+4)(x+2)(2x+1)(x-2)=0

She multiplied (x+2)(x-2) correctly using difference of two squares to get: x^2-4

Unfortunately: She made a mistake in multiplying (x+4)(2x+1) she mistakenly got x^2+9x+4 instead of 2x^2+9x+4. <em>She left out the coefficient of 2.</em>

Therefore the second step should have been:

(x^2-4)(2x^2+9x+4)

The next step will now be:

2x^4+9x^3+4x^2-8x^4-36x-16=0

This simplifies to

2x^4+9x^3-x^4-36x-16=0

8 0
3 years ago
A scientist needs 60 liters of a 40% solution of alcohol. He has a 30% solution and a 60% solution available. How many liters of
Monica [59]

A scientist needs 60 liters of a 60% acid solution. He currently has a 40% solution and a 70% solution. How many liters of each does he need to make the needed 60 liters of 60% acid solution?

----------------

Equation:

acid + acid = acid

----------------------

0.40x + 0.70(60-x) = 0.60*60

-----

40x + 70*60 - 70x = 60*60

 

-----

-30x = -10*60

x = 20 liters

----

Gabe needs 20 liters of the 40% solution.

He also needs 40 liters of the 70% solution.

6 0
3 years ago
2(x + 4) = 4x + 3 – 2x + 5
melamori03 [73]

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define Equation</u>

2(x + 4) = 4x + 3 - 2x + 5

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 2:                              2x + 8 = 4x + 3 - 2x + 5
  2. Combine like terms:                 2x + 8 = 2x + 8
  3. Subtract 8 on both sides:        2x = 2x
  4. Divide 2 on both sides:            x = x

Here we see that <em>x</em> does indeed equal <em>x</em>.

∴ x = infinite amount of solutions

8 0
3 years ago
Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot i
ahrayia [7]
She can plot 9 in 1 hour
3 0
3 years ago
Need to know a number bio for 5/8 break apart 3 ways
Fynjy0 [20]

Answer:

.208333... (as a fraction 5/24)

Step-by-step explanation:

5 divided by 8 = 0.625

.625 divided by 3 = .208333...

5/24

5*1 / 8*3 = 5/24. Therefore, 5/8 divided by 3 is equal to 5/24. In math you can flip the second denominator and numerator to multiply instead of dividing.

7 0
4 years ago
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