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Amiraneli [1.4K]
3 years ago
7

Using completing the square method in quadratic equation 5x²+ 11x + 2=0​

Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

Answer:

x= 1/5 or -2

Step-by-step explanation:

5x² +11x +2= 0

(Divide through by the coefficient of x²)

5x²/5 + 11x/5 + 2/5 = 0/5

x² + 11x/5 + 2/5 = 0

(take the constant to the other side)

x² + 11x/5 = -2/5

(Add 1/2 of the coefficisint of x all square to both sides)

x² + x + (11/5 × 1/2)² = -2/5 + (11/5 × 1/2)²

x² + x + (11/10)² = -2/5 + (11/10)²

x² + x + (11/10)² = -2/5 + 121/100

(eliminate x )

x² + (11/10)² = (20(-2) + 121 ) ÷ 100

(x + 11/10 )² = (-40 + 121) ÷ 100

(x + 11/10 )² = 81/100

(square both sides)

x + 11/ 10 =√(81/100)

x + 11/10 = 9/10

x = -11/10 +or- 9/10

x = -11/10 + 9/10 or -11/10 - 9/10

x = (-11 + 9) ÷ 10 or (-11-9) ÷ 10

x = -2/ 10 or -20/10

x = -1/5 or -2

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A coffee seller makes a salary of 3,500 dollars per month plus $12 commission for every $100 of coffee he sells. a case of coffe
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Th coffee seller must have sold 130 coffee case but for him to make at least $3650, he must've sold 131 cups of coffee

Data;

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<h3>Word Problem</h3>

These are verbal expressions used to represent mathematical problems and if we want to solve them, we must translate them into equations.

If his total pay is $3650 and he earns a commission of $12 for every $100 coffee sold.

How many coffee case are inside $100

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This shows that for every 4 coffee case sold, she made ($100 + $12) as profit.

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how many coffee will give us $3650

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From the calculations above, he must've sold at least 131 cups of coffee to make $3650.

Learn more on word problems here;

brainly.com/question/21405634

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