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maks197457 [2]
3 years ago
15

Solve the following quadratic equation using the quadratic formula. −2y^2+5=7y

Mathematics
1 answer:
Vikki [24]3 years ago
3 0

Answer:

y=(7±√89)/-4

Step-by-step explanation:

y=(-b±√b^2 -4ac)/2a

Rewrite given equation in quadratic form so it is -2y-7y+5=0

Then, in formula, sub -2 for a, -7 for b, and 5 for c

y=-(-7)±√(-7)^2 -4(-2)(5)/2(-2)

When you multiply that out you get

7±√49-(-40)/-4

The next step is the answer given above

If you need the answer not in sq rt form, it is y=-4.1085 and y=0.0608

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Angelo brought apples and bananas at the fruit stand. He bought 20 pieces of fruit and spent $11.50 apples cost $.50 and bananas
Jlenok [28]

Angelo bought 14 apples and 6 bananas

<em><u>Solution:</u></em>

Let "a" be the number of apples bought

Let "b" be the number of bananas bought

Cost of 1 apple = $ 0.50

Cost of 1 banana = $ 0.75

<em><u>He bought 20 pieces of fruit. Therefore,</u></em>

number of apples bought + number of bananas bought = 20

a + b = 20 -------- eqn 1

<em><u>He spent $ 11.50. Therefore, we frame a equation as:</u></em>

number of apples x Cost of 1 apple + number of bananas x Cost of 1 banana = 11.50

a \times 0.50 + b \times 0.75 = 11.50

0.50a + 0.75b = 11.50 ------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

a = 20 - b ------ eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

0.50(20 - b) + 0.75b = 11.50

10 - 0.5b + 0.75b = 11.50

0.25b = 11.50 - 10

0.25b = 1.5

Divide both sides of equation by 0.25

<h3>b = 6</h3>

<em><u>Substitute b = 6 in eqn 3</u></em>

a = 20 - 6

<h3>a = 14</h3>

Thus he bought 14 apples and 6 bananas

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