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the square of a number pages in a portfolio is added to 25 if this result to 10 times the number of pages how many page are there?can you Solve this with solutions thanks​

Sagot :

Answer:

5

Solution:

Let  x be the no. of pages

[tex]x^2 + 25 = 10x[/tex]

Subtract 10x to both sides

[tex]x^2 + 25 - 10x[/tex]

Rearrange the equation in the form [tex]ax^2 + bx + c[/tex]

[tex]x^2 - 10x + 25[/tex]

Solve this using quadratic formula [tex]x = \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex] where a = 1, b = -10, c = 25

[tex]x=\frac{-(-10)±\sqrt{-10^2-4(1)(25)} }{2(1)}[/tex]

[tex]x = \frac{10±\sqrt{100-100} }{2}[/tex]

[tex]x = \frac{10}{2}[/tex]

[tex]x = 5[/tex]

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