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Amiraneli [1.4K]
3 years ago
13

Solve the quadratic equation. 2x2 + 35 = 17x

Mathematics
1 answer:
atroni [7]3 years ago
8 0
Get it to equal 0

minus 17x from both sides

2x²-17x+35=0

tricky part
get something like
(2x-a)(x-b)
we know the signs  are negative since the middle term is negative and last term is positive

so a and b are either 1 and 35 or 5 and 7

(2x-1)(x-35), nope
(2x-35)(x-1) nope
(2x-5)(x-7), nope
(2x-7)(x-5), yep

(2x-7)(x-5)=0
set to zero
2x-7=0
2x=7
x=7/2

x-5=0
x=5


x=7/2 and 5
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The reciprocal of 6/5 is D. 5/6

Reciprocal simply means swapping the position of the numbers in the fraction. The numerator becomes the denominator and the denominator becomes the numerator.

We need to get reciprocal of a fraction when division is performed.

For example: 2 ÷ 1/5

2 may be a whole number but in fraction form it is 2/1.

1st fraction = 2/1
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In dividing fractions, the 1st step we need to do is to get the reciprocal of the 2nd fraction.

1/5 ⇒ 5/1

Then, we multiply the 1st fraction to the reciprocal of the 2nd fraction.
2/1 * 5/1 = 10

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3 years ago
In 2011, the Wellington Police Department issued 450 speeding tickets. In 2012, that number fell to 414. Find the percent decrea
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Step-by-step explanation:

Start by finding the price of one shirt on sale.

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This means the total price of Kayla's purchase will be $45.36.

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