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Doss [256]
3 years ago
7

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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Find the value of x. 120 120 2x x x
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Answer:

75

Step-by-step explanation:

If the figure is a pentagon with 5 sides, then the angles must add to 540.

120 + 120 + 2x + x + x = 540.

Solve by combining like terms and subtracting them from 540.

240 + 4x = 540

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4 years ago
Read 2 more answers
phil ate three less than twice as many pancakes as sara. together they combined to eat 15 pancakes. How many pancakes did each e
Levart [38]

Answer:

Let x represents the Sara eat pancake and y represents the Phil eat the pancake.

As per the statement:

Phil ate three less than twice as many pancakes as Sara.

"Twice as many pancake as Sara" means 2x

"three less than twice as many pancakes as Sara" means 2x -3

⇒y = 2x-3         .....[1]

It is also given that together they combined to eat 15 pancakes.

⇒x+y =15      .....[2]

Substitute equation [1] into [2] we get;

x+2x-3 = 15

Combine like terms;

3x-3 =15

Add 3 to both sides we get;

3x = 18

Divide both sides by 3 we get;

x = 6

Substitute the value of x in [1] we get;

y = 2(6)-3 = 12-3 =9

y = 9

Therefore, the pancakes did each eat are;

Sara eat pancake = 6 and Phil eat pancake = 9


8 0
3 years ago
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