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4 years ago

How do I find the value of X.

Mathematics

1 answer:

ella [17]4 years ago

4 0

X^2 = 17^2 - 8^2
x^2 = 289 - 64
x^2 = 225
x = 15
hope it helps

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After completing the square, what are the solutions to the quadratic equation

Fiesta28 [93]

Answer:

$x_1= \frac{\sqrt{{29}}}{2} +\frac{7}{2}\\\\x_2= -\frac{\sqrt{{29}}}{2} +\frac{7}{2}$

Step-by-step explanation:

1. Subtract 9 from both sides of the equation:

$x^2 - 7x+9-9 = 4-9\\\\x^2 - 7x= -5$

2. Notice that the coefficient of "x" is 7. Then:

$(\frac{7}{2})^2=\frac{49}{4}$

3. Add $\frac{49}{4}$ to both sides of the equation:

$x^2 - 7x+\frac{49}{4}= \frac{49}{4}-5\\\\x^2 - 7x+\frac{49}{4}= \frac{29}{4}$

4. Completing the square, you get:

$(x -\frac{7}{2})^2= \frac{29}{4}$

5. To find the solutions, you must square-root both sides of the equation, simplify, and solve for "x". Then, you get:

$\sqrt{(x -\frac{7}{2})^2}= \±\sqrt{\frac{29}{4}}\\\\x -\frac{7}{2}=\±\frac{\sqrt{{29}}}{2} \\\\x= \±\frac{\sqrt{{29}}}{2} +\frac{7}{2}\\\\\\x_1= \frac{\sqrt{{29}}}{2} +\frac{7}{2}\\\\x_2= -\frac{\sqrt{{29}}}{2} +\frac{7}{2}$

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3 years ago

Read 2 more answers

What is 1/27 in a decimal

ryzh [129]

0.037037 is what 1/27 is in decimal form

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4 years ago

Select all equations that are equivalent to 5x+(x+6)+3x

12345 [234]

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3 years ago

Value of m varies directly as value of n and n=5 when m=12. What is n when m=18?

ohaa [14]

Simplify the problem down, so:

m = 12 & n = 5
m = 6 & n = 2.5 (divided each number by 20)

Now m is a factor of 18. Multiply each number by 3.
Answer: m = 18 & n = 7.5

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4 years ago

In response to very high demand, a new bike has been marked up by 25% and is now selling for $210.00. How much was the bike befo

klemol [59]

Answer:

210.00 divided by 4 = 52.5 then you would subtract 210 by 52.5 and you would get 157.5.

Step-by-step explanation:

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3 years ago