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Marrrta [24]
3 years ago
5

one number is four times another number. the larger number is also 87 more than the smaller number. Find the number

Mathematics
1 answer:
Mama L [17]3 years ago
6 0
The small number is 21.75
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<u>Solution:</u>

Given that the two roots a + sqrt b and a - sqrt b are called ______ radicals.

Now let us write the each of the given two radicals in mathematical form.

So, first radical ⇒ a + sqrt b ⇒ a+\sqrt{b}   [ since sqrt means square root]

Now second radical ⇒ a - sqrt b ⇒ a-\sqrt{b}

We have to find the relation between a+\sqrt{b} \text { and } a-\sqrt{b}

Now, if observe a+\sqrt{b}  is conjugate of a-\sqrt{b} \text { as }(a+\sqrt{b})(a-\sqrt{b})=a^{2}-b

[ where radical is eliminated]

Hence, the two roots a +sqrt b and a- sqrt b are called conjugate radicals

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