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Vlada [557]
2 years ago
12

Solve for x . 2x² - 17x+31 = (x - 5)²

Mathematics
1 answer:
Romashka [77]2 years ago
6 0

Answer:

x = 1 , x = 6

Step-by-step explanation:

2x² - 17x + 31 = (x - 5)² ← expand using FOIL

2x² - 17x + 31 = x² - 10x + 25 ( subtract x² - 10x + 25 from both sides )

x² - 7x +  6 = 0 ← in standard form

(x - 1)(x - 6) = 0 ← in factored form

equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 6 = 0 ⇒ x = 6

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Answer:

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i hope i helped a bit

Step-by-step explanation:

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4 years ago
What is the solution to the equation 5(x - 3) + 7 = 5x - 8?
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A honeybee sitting on a tulip wanted to fly to a daffodil located 100 meters due east. Although the honeybee flew in a straight
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Answer:

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6 0
3 years ago
Sophia is 8 years older than Lila. Twenty years ago Sophia was three times as old as Lila. How old is each now?
lys-0071 [83]
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Read 2 more answers
Help pls if u can pls
Vadim26 [7]

Answer:

Infinite solutions.

Step-by-step explanation:

Let's solve your system by substitution.

3y=9x+15;3x−y=−5

Rewrite equations:

3x−y=−5;3y=9x+15

Step: Solve 3x−y=−5 for y:

3x−y=−5

3x−y+−3x=−5+−3x(Add -3x to both sides)

−y=−3x−5

−y   −1   −1=−3x−5

(Divide both sides by -1)

y=3x+5

Step: Substitute 3x+5 for y in 3y=9x+15:

3y=9x+15

3(3x+5)=9x+15

9x+15=9x+15(Simplify both sides of the equation)

9x+15+−9x=9x+15+−9x(Add -9x to both sides)

15=15

15+−15=15+−15(Add -15 to both sides)

0=0

Hello lucker

8 0
3 years ago
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