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Luda [366]
3 years ago
7

Classify each of the following as rational or irrational:

Mathematics
1 answer:
Gemiola [76]3 years ago
7 0

Answer:

Rational:-5, 2/3, 0.5, sqrt 16

Irrational: sqrt 11, pi

Step-by-step explanation:

A rational number is a number which can be represented as a ratio or fraction and whose decimal is terminating or repeating. This includes all whole numbers positive and negative too.

Ex. -5, 2/3, 0.5, sqrt 16

An irrational number is a number that CANNOT be represented as a ratio or fraction and whose decimal is NOT terminating or repeating. These often include square roots and numbers like pi.

Ex. sqrt 11, pi

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Solve 2x^2+x-4=0<br> X^2+_×+_=0
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Answer:

Hopes it helps

Step-by-step explanation:

The Quadratic Polynomial is

2 x² +x -4=0

Using the Determinant method to find the roots of this equation

For, the Quadratic equation , ax²+ b x+c=0

(b) x²+x=0

x × (x+1)=0

x=0  ∧ x+1=0

x=0     ∧   x= -1

You can look the problem in other way

the two Quadratic polynomials are

2 x²+x-4=0, ∧ x²+x=0

x²= -x

So, 2 x²+x-4=0,

→ -2 x+x-4=0

→ -x -4=0

→x= -4

∨

x² +x² +x-4=0

x²+0-4=0→→x²+x=0

→x²=4

x=√4

x=2 ∧ x=-2

As, you will put these values into the equation, you will find that these values does not satisfy both the equations.

So, there is no solution.

You can solve these two equation graphically also.

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