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ira [324]
4 years ago
14

Solve the proportion 5/25= x/20

Mathematics
1 answer:
vovikov84 [41]4 years ago
8 0

5/25 = x/20

To solve a proportion cross multiply:

(5 * 20) = (25 * x)

Simplify:

100 = 25x

Divide both sides by 25:

x = 100/25

x = 4

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3 years ago
Your friend Alex was solving the equation 2x^2+3x=20 and the work below. Tragically, she made an error in her work. First, expla
earnstyle [38]

Answer:

Her error is that For solving by Completing the square method.

She has not made the Coefficient of x² as 1.

Therefore,

x=\dfrac{-3+13}{4}=\dfrac{10}{4}=2.5\ OR\ x=\dfrac{-3-13}{4}=\dfrac{-16}{4}=-4

Step-by-step explanation:

Alex was solving the equation

2x^{2}+3x=20

She is solving for x by Completing the square method

Her error is that For solving by Completing the square method

First step is to make Coefficient of x² as 1 ( one )

She has not made the Coefficient of x² as 1

The Require steps for the equation by Completing the square method are

Step 1 : Given

2x^{2}+3x-20=0

Step 2: Divide the whole by 2 we get

x^{2}+\dfrac{3}{2}x-10=0

Step 3 : Add 10 to both side

x^{2}+\dfrac{3}{2}x-10+10=0+10\\\\x^{2}+\dfrac{3}{2}x=10

Step 4 : Add (\dfrac{1}{2}coefficient\ of\ x)^{2}=\dfrac{9}{16} to both the side.

x^{2}+\dfrac{3}{2}x+\dfrac{9}{16}=10+\dfrac{9}{16}\\\\x^{2}+2\times \dfrac{3}{4}x+(\dfrac{3}{4})^{2}=\dfrac{169}{16}

Step 5 : We have A² + 2AB + B² = (A+B)²

(x+\dfrac{3}{4})^{2}=\dfrac{169}{16}

Step 6 : Taking Square root

(x+\dfrac{3}{4})=\pm \sqrt{\dfrac{169}{16}}=\pm \dfrac{13}{4}

Step 7 : Subtract \dfrac{3}{4} both side

x+\dfrac{3}{4}-\dfrac{3}{4}=-\dfrac{3}{4}\pm \sqrt{\dfrac{169}{16}}=\pm \dfrac{13}{4}\\\\x=-\dfrac{3}{4} \pm \dfrac{13}{4}

Step 8 : Finally we get

x=\dfrac{-3+13}{4}=\dfrac{10}{4}=2.5\ OR\ x=\dfrac{-3-13}{4}=\dfrac{-16}{4}=-4

Therefore,

x=\dfrac{-3+13}{4}=\dfrac{10}{4}=2.5\ OR\ x=\dfrac{-3-13}{4}=\dfrac{-16}{4}=-4

5 0
3 years ago
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