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Serggg [28]
2 years ago
5

Solve 2 a 2 − 5 a − 25 = 0 by factoring. Enter your answers below a = or a =

Mathematics
1 answer:
kaheart [24]2 years ago
4 0

Answer:

a=5, a=-2.5

Step-by-step explanation:

<em>Given:</em>

<em />2 a^2 - 5 a - 25 = 0

<em>Solution:</em>

<em />a_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-25\right)}}{2\cdot \:2}

a_{1,\:2}=\frac{-\left(-5\right)\pm \:15}{2\cdot \:2}

a_1=\frac{-\left(-5\right)+15}{2\cdot \:2},\:a_2=\frac{-\left(-5\right)-15}{2\cdot \:2}

a=5,\:a=-2.5

<u><em>~Lenvy~</em></u>

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What much expression represents a rational number?
Pie

Answer:

\displaystyle \frac{2}{7}+\sqrt{121}

Step-by-step explanation:

<u>Rational Numbers</u>

A rational number is any number that can be expressed as a fraction

\displaystyle \frac{a}{b}, \ b\neq 0

for a and b any integer and b different from 0.

As a consequence, any number that cannot be expressed as a fraction or rational number is defined as an Irrational number.

Let's analyze each one of the given options

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The second part is an exact square root (resulting 4) but the first part is a known irrational number called pi. It's not possible to express pi as a fraction, thus the number is irrational

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The square root of 121 is 11. It makes the whole number a sum of a rational number plus an integer, thus the given number is rational

\displaystyle \frac{3}{10}+\sqrt{11}

As with the first number, the square root is not exact. The sum of a rational number plus an irrational number gives an irrational number.

Correct option:

\boxed{\displaystyle \frac{2}{7}+\sqrt{121}}

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