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Ganezh [65]
3 years ago
10

14) solve rational and radical equations

Mathematics
1 answer:
Oxana [17]3 years ago
3 0
X= <span>√(54-3x)
square both sides:
x^2=54-3x
bring everything to the left:
x^2 + 3x - 54= 0
solve using quadratic formula:
x= (-3 +/- </span>√(9- 4(-54)))/2=
      (-3+/- <span>√(9+216))/2=
      (-3 +/- </span><span>√225/2=
       (-3 +/- 15)/2=
    two options:
  1) x= (-3+15)/2= 12/2=6
   2) x= (-3-13)/2= -18/2= -9</span>
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A female dust mite is about 0.001378 feet in length and distance from the Earth to the moon is about 1,261,400,000 feet. Rewrite
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Answer:

Step-by-step explanation:

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8 0
3 years ago
Solve Fast Please!!!!!!!!!!!!!! ok thanks, Bye (2x−5)^2−.5x&lt;(2x−1)(2x+1)−15
Andrews [41]

Keep these rules in mind:

  1. (a + b)² = a² + 2ab + b²
  2. (a - b)² = a² - 2ab + b²
  3. (a + b)(a - b) = a² - b²

Firstly, solve the exponent and multiplication:

4x^2-20x+25-0.5x

Next, combine like terms:

4x^2-20.5x+25

Next, subtract 4x² on both sides:

-20.5x+25

Next, subtract 25 on both sides:

-20.5x

Lastly, divide both sides by -20.5. And since you are dividing by a <u>negative</u>, flip the inequality sign:

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<u>Your answer is x > 2.</u>

8 0
3 years ago
Determine the type and number of solutions of 4x^2-5x+1=0.
Arlecino [84]
<span>4x² - 5x + 1 = 0
a = 4; b = - 5, c = 1
</span>Δ = b² - 4.a.c
Δ = (-5)² - 4.4.1
Δ = 25 - 16
Δ = 9
<span>
x = - b </span>± √Δ / 2.a
x =  \frac{-5\± \sqrt{9} }{2*4}
x =  \frac{-5\±3}{8}
x' =  \frac{-5-3}{8} =  \frac{-8}{8} = -1
x' = \frac{-5+3}{8} = \frac{-2}{8} (\div2) = \frac{-1}{4}


A. Two real solutions (x' = -1 and x'' = -1/4)
4 0
3 years ago
PLEASE, ANYONE, HELP!! I WILL GIVE BRAINLIEST IF YOU'RE CORRECT AND 20 POINTS!!
zysi [14]

Answer:

-300

Step-by-step explanation:

z = -21/0.07

z = -300

4 0
3 years ago
Read 2 more answers
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