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avanturin [10]
1 year ago
12

How do you find the degree of an expression?

Mathematics
1 answer:
garri49 [273]1 year ago
4 0

The degree of an expression in more than one variable is the highest sum of the powers of the variables in the terms.

Expression:

An algebraic expression is a combination of constant and variables connected by the signs of fundamental operations.

ex: 2x+5

Degree of an expression:

The degree of an expression in one variable is the highest exponent of the variable in that expression.

Ex:

2x^6 + x^4 + 5

Highest exponent = 6

so degree = 6

The degree of an expression in more than one variable is the highest sum of the powers of the variables.

Ex:

3x^1y^2 + 5x^3y^2 + 5

Sum of powers of variables = 3+2 = 5

Degree = 5.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ4

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PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION
Alex17521 [72]

<u>Solution</u><u>:</u>

\sqrt{4x + 13}  = x + 2

  • First square both sides.

=  > ( \sqrt{4x + 13} ) ^{2}  = (x + 2) ^{2}

  • Now, square root and square gets cancel out in the LHS. And in the RHS, apply the identity: (a + b)² = a² + 2ab + b².

=  > 4x + 13 =  {(x)}^{2}  + 2 \times x \times 2 + (2) ^{2} \\  =  > 4x + 13 =  {x}^{2}   + 4x + 4

  • Now, transpose 4x and 4 to LHS.

=  > 4x - 4x + 13 - 4 =  {x}^{2}  \\

  • Now, do the addition and subtraction.

=  >  {x}^{2}  = 9 \\  =  >  x =  \sqrt{9}  \\  =  > x = ±3

<u>Answer</u><u>:</u>

<u>x </u><u>=</u><u> </u><u>±</u><u> </u><u>3</u>

Hope you could understand.

If you have any query, feel free to ask.

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Step-by-step explanation:

The question is not displaying correctly.

4x·3x = 12x²

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