Use the quadratic formula to solve x^2 + 9x + 10 = 0. Estimate irrational solutions to the nearest tenth.

Mathematics

2 answers:

Degger [83]3 years ago

5 0

Basically, just plus your numbers into quadratic formula. A= 1, B= 9, C= 10.
The answer you will get is B.

alexgriva [62]3 years ago

3 0

$x^{2} + 9x + 10 = 0 \\x = \frac{-(9) +/- \sqrt{(9)^{2} - 4(1)(10)}}{2(1)} \\x = \frac{-9 +/- \sqrt{81 - 40}}{2} \\x = \frac{-9 +/- \sqrt{41}}{2} \\x = \frac{-9 +/- 6.4}{2} \\x = \frac{-9 + 6.4}{2} \\x = \frac{-2.6}{2} \\x = -1.3 \\ \\x = \frac{-9 - 6.4}{2} \\x = \frac{-15.4}{2} \\x = -7.7$

It is equal to B.

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You start driving north for 9 miles, turn right, and drive east for another 40 miles. At the end of driving, what is your straig

Vsevolod [243]

The straight line distance from the starting point is 41 miles.

<u>Explanation:</u>

Given:

Distance covered towards north, n = 9 miles

Distance covered towards east, e = 40 miles

Distance from the origin to the end, x = ?

If we imagine this, then the route forms a right angle triangle

where,

n is the height

e is the base

x is the hypotenuse

Using pythagoras theorm:

(x)² = (n)² + (e)²

(x)² = (9)² + (40)²

(x)² = 1681

x = 41 miles

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