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Where x = - 3, what is the value of the expression x² - 5x + 1?​

Sagot :

✒️[tex]\large{\mathcal{ANSWER}}[/tex]

[tex]======================[/tex]

  • The numerical value of this algebraic expression corresponds to the result equal to: twenty-five (25).

Being the indicated expression:

[tex] \: \boxed{= x² - 5x + 1 = x = -3} [/tex]

● Method to calculate:

  • » To solve this expression, we will replace the letter "x" with the indicated value, being the integer minus three (-3).

- Then, let's perform the mathematical operations indicated in the expression, thus obtaining the final result of the expression.

[tex] = {x}^{2} - 5x + 1[/tex]

[tex] = x = - 3[/tex]

[tex] = ({3})^{2} - 5 \times( -3) + 1[/tex]

[tex] = ( - 3) \times ( - 3) - 5 \times ( - 3) + 1[/tex]

[tex] = 9 - 5 \times ( - 3) + 1[/tex]

[tex] = 9 - ( - 15) + 1[/tex]

[tex] = 9 + 15 + 1[/tex]

[tex] = 9 + 16[/tex]

[tex] \: \boxed{=25}√ [/tex]

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Problem:

Where x = -3, what is the value of the expression x² - 5x + 1?

Solution:

Replacing the expression for the value of x which is is -3 then, plug and substitute that you obtained to solve them.

  • x² - 5x + 1
  • (-3)² - 5(-3) + 1
  • 9 + 15 + 1
  • 25

Answer:

∴ The equivalent of the expression is 25.

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