3 years ago

Solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation?

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

5 0

Answer:

Step-by-step explanation:

x² – 8x = 20 ⇌ x² – 2(4)x = 4 + 16 ⇌ x² – 2(4)x - 16 = 4 ⇌ (x - 4)² = 4

⇌ x - 4 = 2 or x - 4 = -2 ⇌ x = 6 or x = 2

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Can you rearrange it so T is the subject

OverLord2011 [107]

The formula after making t subject of the formula is:

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Step-by-step explanation:

Given formula is:

$q = \frac{2-4t}{t+3}$

To make t the subject of the formula we have to isolate t

So,

Cross-multiplying

$q(t+3) = 2-4t\\qt+3q = 2-4t$

Adding 4t on both sides

$qt+3q+4t = 2-4t+4t\\qt+3q+4t = 2$

Subtracting 3q from both sides

$qt+3q+4t-3q = 2-3q\\qt+4t = 2-3q$

Taking t common on left hand side

$t(q+4)=2-3q$

Dividing both sides by q+4

$\frac{t(q+4)}{q+4}=\frac{2-3q}{q+4}\\t = \frac{2-3q}{q+4}$

The formula after making t subject of the formula is:

$t = \frac{2-3q}{q+4}$

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Answer:

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