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2 years ago

If R is between P and Q, find the value of x and PR. PQ=17, PR=5x+2, RQ=x^2-1

Mathematics

1 answer:

vodka [1.7K]2 years ago

3 0

The value of x will be2.217 and PR will be 13.085 units.

<h3>What is a line segment?</h3>

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that,

Line PQ consists of two segments PR and RQ

So,

PQ = PR + RQ

17 = 5x+2 + x² - 1

x² + 5x - 16 = 0

The roots of the equation will be

x = [-5 + √(25 + 64) ] ÷ 2

x = 2.217

Now,

PR = 5(2.217) + 2 = 13.085

Hence "The value of x will be2.217 and PR will be 13.085 units".

For more about line segment,

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