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3 years ago

X² - 2ax + b = 0solve using completing the square

Mathematics

2 answers:

iris [78.8K]3 years ago

8 0

Answer:

$x^2-2ax+b=0\\or, x^2-2ax = -b\\or, x^2-2ax+a^2=a^2-b\\or, (x-a)^2 = a^2-b\\or, (x-a) =\sqrt{a^2-b} , -\sqrt{a^2-b} \\or, x =a+\sqrt{a^2-b} ~OR~x=a-\sqrt{a^2-b}$

prisoha [69]3 years ago

5 0

Use the formula
(b/2)*2
in order to create a new term. Solve for
by using this term to complete the square.
Cannot solve by completing the square.

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Suppose that you have an enormous grapefruit that is 92% water (by weight). The grapefruit weights 100 pounds. If the water cont

yuradex [85]

Answer:

The weight of grapefruit is now 80 pound.

Step-by-step explanation:

Consider the provided information.

Let the x is the weight loss. The weight of grapefruit is 100 pounds and water is 92%. After evaporation water is 90%.

Thus the weight loss is:

$0.92\times100-0.90(100 - x) = x$

$92-90+0.90x=x$

$2=x-0.90x$

$2=0.1x$

$x=20$

Hence, the weight loss is 80 pounds.

Therefore, New weight is 100 - 20 = 80 pounds

The weight of grapefruit is now 80 pound.

3 0

3 years ago

L=a+(n-1)d solve for n

earnstyle [38]

Answer:

(L-a)/d + 1 = n

Step-by-step explanation:

Let's isolate (n-1), and after that isolate n:

1) subtract a from both sides: L - a = (n-1)d

2) Divide both sides by d: (L-a)/d = n-1

3) Add 1 to both sides, to isolate n: (L-a)/d + 1 = n

3 0

3 years ago

5/6+2/9= in simplest form I NEED this plz help

tensa zangetsu [6.8K]

Answer: 1 1/18

Step-by-step explanation: 5/6 + 2/9 I know this might seem like common, but the Numerator is the top number of a fraction and the Denominator is the bottom a fraction. When the numerator and the denominator are the same such as 5/5 the fraction equals one (I know its real fancy). When you're multiplying a fraction that equals on by another fraction its really just multiplying by a fancy looking 1 that's disguised as a fraction such as 5/5. If you simplify it it goes to the fraction it was as long it was simplified to the max (5/5 x 1/2 = 5/10= 1/2)

First, you need to find a like denominator, which is 18

Then, you got to multiply each fraction to make them have common denominators ...multiply 5/6 by 3/3 ( 3/3 is just a fancy way of saying one) 5/6 x 3/3 = 15/18....multiply 2/9 by 2/2 (which is just another fancy way of saying one ) 2/9 x 2/2=4/18
Next you add them but only the numerator 15/18 + 4/18 = 19/18
Finally, you change the the fraction into a mixed number 1 and 1/18

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3 years ago

In a fitness club, the ratio of male and female is 3:2. Base on their ability level, they are group into 3 different groups, A,B

ArbitrLikvidat [17]

Answer:35, 1

Step-by-step explanation:

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3 years ago

a diver is exploring the water of the great barrier reef she is currently 25 feet from the surface of the water and plans to exp

11111nata11111 [884]

Answer:

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Step-by-step explanation:

she is at 25

she needs to be at 75 which means she needs 50 more feet

at 8 per minute she will reach the depth in 50/8 = 6.25 minutes or 6 minutes and 15 seconds

6 0

2 years ago

X² - 2ax + b = 0solve using completing the square​

X² - 2ax + b = 0solve using completing the square