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Marat540 [252]
3 years ago
11

Solve for x in the equation x^2-10x+25=35

Mathematics
2 answers:
Mazyrski [523]3 years ago
6 0

Answer:

\text{The solution is }x=5\pm \sqrt{35}    

Step-by-step explanation:

Given the equation

x^2-10x+25=35

we have to solve the above equation for x

x^2-10x+25=35

Subtracting 35 from both sides, we get

x^2-10x-10=0

\text{Comparing above equation with }ax^2+bx+c=0

a=1, b=-10, c=-10

By quadratic formula, the solution is

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

x=\frac{-(-10)\pm \sqrt{(-10)^2-4(1)(-10)}}{2(1)}

x=\frac{10\pm \sqrt{100+40}}{2}

x=\frac{10 \pm \sqrt{140}}{2}

x=\frac{10 \pm 2\sqrt{35}}{2}

x=5\pm \sqrt{35}

which is required solution.

yKpoI14uk [10]3 years ago
3 0
The left side of this equation is already a perfect square:    <span>x^2-10x+25=35.

Rewriting it, we get (x-5)^2 = 35.

Taking the sqrt of both sides,    x-5 = sqrt(35).

Solving for x:    x = 5 plus or minus sqrt(35)    (answers)</span>
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3 years ago
Tom was able to save 35% more this year than he did last year. If he saved $140 last year, how much did he save this year?
miskamm [114]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
What is 5/47 as a decimal rounded to 3 decimal places?
MAXImum [283]

Answer:

You divide 5 by 47 and then see if the fourth digit after the decimal is 5 or greater or less than 5. If it's less, the digit before it remains the same and the decimal cuts off at it. If it's 5 or greater, the digit before it goes up one and the. decimal cuts off at it. Using this, you should get 0.106, I think.

5 0
3 years ago
Norman purchased $420 of stock in Carnival Cruise Lines last week. That stock is now worth $525. Use your knowledge of percent c
zysi [14]

Answer:

The stock Norman purchased increased in its value by 25%.

Step-by-step explanation:

Original Value of the stock = $ 420

New(Current) value of the stock = $ 525

We have to find the percentage change in the value of stock. The formula to calculate the percentage change is:

\text{Percentage Change}=\frac{\text{New Value - Original Value}}{\text{Original Value}} \times 100\%

Substituting the given values into this formula results in:

\text{Percentage Change}=\frac{525-420}{420} \times 100\% \\\\ \text{Percentage Change}=\frac{105}{420} \times 100\%\\\\ \text{Percentage Change}=0.25 \times 100\% \\\\ \text{Percentage Change}=25 \%

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7 0
3 years ago
1178 × 125 = show work
zlopas [31]
1178x100=117800

1178x20=23560

1178x5=5890

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7 0
3 years ago
Read 2 more answers
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