Maths-

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Question

Some, but not all , equations with rational exponents have extraneous solutions. What is the relationship between the exponents and possibility of having extraneous solutions for equations with rational exponents? Explain your reasoning

hint Hint:

write the reason

The correct answer is: extraneous

Complete step by step solution:
The larger the exponent, the more likely to get an extraneous solution.

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Some, but not all , equations with rational exponents have extraneous solutions. What is the relationship between the exponents and possibility of having extraneous solutions for equations with rational exponents? Explain your reasoning

write the reason

The correct answer is: extraneous

Complete step by step solution:The larger the exponent, the more likely to get an extraneous solution.

Related Questions to study

Use the equations represented in the graph below to find the point of intersection

Use the equations represented in the graph below to find the point of intersection

Write a radical equation that relates a square’s perimeter to its area. Explain your reasoning. Use s to represent the side length of the square.

Write a radical equation that relates a square’s perimeter to its area. Explain your reasoning. Use s to represent the side length of the square.

Explain how to identify an extraneous solution for an equation containing a radical expression

Explain how to identify an extraneous solution for an equation containing a radical expression

Solve the equation

Solve the equation

Solve the equation

Solve the equation

Solve the equation

Solve the equation

Simplify each expressions and state the domain :

Simplify each expressions and state the domain :

Express the rational expression in its lowest terms .

Express the rational expression in its lowest terms .

When Multiplying , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

When Multiplying , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

Identify the slope and y-intercept of the line:

Identify the slope and y-intercept of the line:

Rewrite the equation to isolate x.

Rewrite the equation to isolate x.

Find the product of the rational expression

Find the product of the rational expression

Explain how you can tell whether a rational expression is in simplest form?

Explain how you can tell whether a rational expression is in simplest form?

Determine whether is sometimes , always or never true . Justify your reasoning.

Determine whether is sometimes , always or never true . Justify your reasoning.

Identify the slope and y-intercept of the line:

Identify the slope and y-intercept of the line:

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Complete step by step solution:
The larger the exponent, the more likely to get an extraneous solution.

Solve the equation $square root of x plus 2 end root plus square root of 3 x plus 4 end root equals 2$

Solve the equation $square root of x plus 2 end root plus square root of 3 x plus 4 end root equals 2$

Solve the equation $square root of 2 x minus 5 end root minus square root of x minus 3 end root equals 1$

Solve the equation $square root of 2 x minus 5 end root minus square root of x minus 3 end root equals 1$

Solve the equation $left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4$

Solve the equation $left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4$

Simplify each expressions and state the domain : $fraction numerator x cubed plus 4 x squared minus x minus 4 over denominator x squared plus 3 x minus 4 end fraction$

Simplify each expressions and state the domain : $fraction numerator x cubed plus 4 x squared minus x minus 4 over denominator x squared plus 3 x minus 4 end fraction$

Express the rational expression in its lowest terms .
$fraction numerator x squared minus 2 x minus 3 over denominator 2 x squared minus 3 x minus 5 end fraction$

Express the rational expression in its lowest terms .
$fraction numerator x squared minus 2 x minus 3 over denominator 2 x squared minus 3 x minus 5 end fraction$

When Multiplying $15 over x cross times x over 3 equals 5$ , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

When Multiplying $15 over x cross times x over 3 equals 5$ , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

Identify the slope and y-intercept of the line: $y equals 1 fourth x plus 5$

Identify the slope and y-intercept of the line: $y equals 1 fourth x plus 5$

Rewrite the equation $y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root$ to isolate x.

Rewrite the equation $y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root$ to isolate x.

Find the product of the rational expression
$fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction$

Find the product of the rational expression
$fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction$

Determine whether is sometimes $fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6$ , always or never true . Justify your reasoning.

Determine whether is sometimes $fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6$ , always or never true . Justify your reasoning.

Identify the slope and y-intercept of the line: $y equals negative 5 x minus 3 over 4$

Identify the slope and y-intercept of the line: $y equals negative 5 x minus 3 over 4$