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3 years ago

Slove for all the possible values of x. √21-4x=x-6

Mathematics

1 answer:

Alona [7]3 years ago

4 0

Answer:

x=2.116

Step-by-step explanation:

$\sqrt{21}$ -4x=x-6

4.58-4x-x=-6

-5x=-6-4.58

-5x=-10.58

x=2.116

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Answer:

The oldest brother is of age $26$ years.

Step-by-step explanation:

As the age of four brothers are consecutive even integers.

We assume that the ages are $x,(x+2),(x+4),(x+6)$ as their respective ages.

And the age of the youngest brother $x$ yrs.

Age of the oldest brother $(x+6)$ yrs.

According to the question

Product of two middle brother that is $(x+2)(x+4) =528$

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Solving the quadratic by using middle term splitting or directly with quadratic formula we can find the value of 'x' .

Here it is solved with quadratic formula:

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$x= \frac{-b \pm \sqrt{b^2-4ac} }{2a} = \frac{-6 \pm \sqrt{6^2-4\times \ (-520)} }{2\times 1}$

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We will work with the positive value of (x) so the the age of the youngest brother $=(x)=20$ yrs.

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