curlyhead2023 curlyhead2023
  • 14-05-2020
  • Mathematics
contestada

Use the quadratic formula to solve 2x^2=5x+6. Leave your answer in radical form. Show all of your work!

Respuesta :

PiaDeveau PiaDeveau
  • 19-05-2020

Answer:

In radical from 169/50 , 177/200

Step-by-step explanation:

Given:

[tex]2x^2=5x+6\\\\2x^2-5x-6=0\\\\Where, a=2 , b=-5 , c=-6[/tex]

Find:

Value of [tex]x[/tex]

Computation:

Using quadratic formula:

[tex]\frac{-b\±\sqrt{b^2-4ac} }{2a}\\\\By\ putting\ all\ value\\\\ \frac{-(-5)\±\sqrt{(-5)^2-4(2)(-6)} }{2(2)}\\\\ \frac{5\±\sqrt{25+48} }{4}\\\\ \frac{5\±8.54 }{4}\\\\\frac{5+8.54 }{4},\frac{5-8.54 }{4} \\\\3.38 , 0.885[/tex]

Value of [tex]x[/tex] 3.38 , 0.885

In radical from 169/50 , 177/200

Answer Link

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