JDOH19283
JDOH19283 JDOH19283
  • 04-06-2020
  • Mathematics
contestada

Use the quadratic formula to solve the equation​.

4x^2−10x+5=0

Respuesta :

protecter4life
protecter4life protecter4life
  • 04-06-2020

Quadratic formula:

[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

What do we have:

a=4

b=-10

c=5

Substitude:

[tex]x=\frac{10±\sqrt{b^{2}-4(4)(5)}}{2(a)}[/tex]

Solve:

[tex]x=\frac{10±\sqrt{(-10)^{2}-4(4)(5)}}{2(4)}\\\\x=\frac{10±\sqrt{100-4(20)}}{8}\\\\x=\frac{10±\sqrt{100-4(20)}}{8}\\\\x=\frac{10±\sqrt{100-80}}{8}\\\\x=\frac{10±\sqrt{20}}{8}\\\\x=\frac{10±2\sqrt{5 }}{8}\\\\x=\frac{2(±5\sqrt{5) }}{2(4)}[/tex]

Cancel the common terms:

[tex]x=\frac{5±\sqrt{5} }{4}[/tex]

Answer Link

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