Solving for E in an Exponential Equation with Square Roots

  • Thread starter kmoh111
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In summary, an exponent is a mathematical notation that indicates the number of times a base number is multiplied by itself. It is used to represent repeated multiplication in a concise way and is read as "base number raised to the power of the exponent". The purpose of using exponents is to simplify mathematical operations and problems. The basic rules of exponents include the product rule, quotient rule, and power rule, as well as rules for negative and zero exponents. To solve problems involving exponents, one can use these rules and the order of operations, along with a strong understanding of basic arithmetic and number properties.
  • #1
kmoh111
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Homework Statement


How do you solve this probem for E:

E + sqrt(aE) = b

where 'a' and 'b' are constants.

I don't recall how to handle the exponents where you have E + aE^1/2 = b and solve for E.
 
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  • #2
Rewrite it as sqrt(aE)=b-E. Now square both sides. It's a quadratic equation in E.
 
  • #3
Thank you.
 

Related to Solving for E in an Exponential Equation with Square Roots

What is an exponent?

An exponent is a mathematical notation that indicates the number of times a base number is multiplied by itself. It is written as a small superscript number to the right of the base number.

How do you read an exponent?

An exponent is read as "base number raised to the power of the exponent". For example, 5^2 is read as "5 raised to the power of 2" or "5 squared".

What is the purpose of using exponents?

Exponents are used to represent repeated multiplication in a concise way. They are also used in various mathematical operations, such as solving equations and simplifying expressions.

What are the basic rules of exponents?

The basic rules of exponents include the product rule (a^m * a^n = a^(m+n)), the quotient rule (a^m / a^n = a^(m-n)), and the power rule ((a^m)^n = a^(m*n)). There are also rules for negative exponents and zero exponents.

How do you solve problems involving exponents?

To solve problems involving exponents, you can use the basic rules of exponents, as well as the order of operations. It is also helpful to have a strong understanding of basic arithmetic and the properties of numbers.

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