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I need help, pls and thx

I Need Help Pls And Thx class=

Sagot :

The solutions for the quadratic equation are given as follows:

x = -1, x = 7/5

What is a quadratic function?

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • [tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]
  • [tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

For this problem, the equation is:

5x² - 2x - 7 = 0.

Hence the coefficients are a = 5, b = -2 and c = -7, and then the solutions are found as follows:

  • [tex]\Delta = (-2)^2 - 4(5)(7) = 144[/tex]
  • [tex]x_1 = \frac{2 + \sqrt{144}}{10} = \frac{7}{5}[/tex]
  • [tex]x_2 = \frac{2 - \sqrt{144}}{10} = -1[/tex]

The solutions are:

x = -1, x = 7/5

More can be learned about quadratic equations at https://brainly.com/question/24737967

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