AayatW5482 AayatW5482
  • 25-10-2022
  • Mathematics
contestada

Use the quadratic formula to solve the equation.–x2 + 5x = 3

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JencarloG359378 JencarloG359378
  • 25-10-2022

Given the equation - x² + 5x = 3, which can be rewritten as:

- x² + 5x - 3 = 0

where a = -1, b = 5 and c = -3.

Quadratic formula:

[tex]\frac{-b\text{ }\pm\text{ }\sqrt[]{b^2\text{ - 4ac}}}{2a}[/tex]

Now, we just replace the values of a, b and c on the equation above.

[tex]\frac{-5\text{ }\pm\text{ }\sqrt[]{5^2\text{ - 4(-1)(3)}}}{2(-1)}[/tex]

=

[tex]\frac{5}{2}\text{ }\pm\text{ }\frac{\sqrt[]{13}}{2}[/tex]

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