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4 years ago

I don’t understand this!

Mathematics

1 answer:

Korvikt [17]4 years ago

7 0

Answer:

635

Step-by-step explanation:

so basically you need to make an equation to find out what number, when put through all of those operations, will still equal the same number in the end. the way you do that is with an equation. so let's say our starting number is <em>x</em>, since we don't know its value yet.

the final equation is (((((((x/5)+6)/7)-8)9)+114)3)-4 = x

basically it's just x, all those different operations in that order, which is why you need parentheses, equals to x again because it's the same in the end. when you solve that you get 635

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Aleksandr-060686 [28]

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4 0

4 years ago

Find the value of "k" such that 1/2 is a root of 2x^2+11x=-k

trapecia [35]

The value of k is -6

Step-by-step explanation:

The general form of the quadratic equation is y = ax² + bx + c

The roots of the equation is the values of x when y = 0
ax² + bx + c = 0, is used to find the roots

∵ 2x² + 11x = -k

- Add k to both sides

∴ 2x² + 11x + k = 0

∵ The roots of the quadratic equations is the values of x when y = 0

∵ $\frac{1}{2}$ is a root of the equation

- Substitute x by $\frac{1}{2}$ in the equation above to find k

∵ 2( $\frac{1}{2}$ )² + 11( $\frac{1}{2}$ ) + k = 0

∴ 2( $\frac{1}{4}$ ) + $\frac{11}{2}$ + k = 0

∴ $\frac{1}{2}$ + $\frac{11}{2}$ + k = 0

- Add the like terms

∵ $\frac{1}{2}$ + $\frac{11}{2}$ = $\frac{12}{2}$ = 6

∴ 6 + k = 0

- Subtract 6 from both sides

∴ k = -6

The value of k is -6

Learn more:

You can learn more about the quadratic equations in brainly.com/question/8196933

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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d = d^2 / 4 Multiply both sides by 4

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