Question

Write the quadratic equation x²/2 - 3/4 = 5x/6 in its standard form.​

Answer 1

Answer:

6x² - 10x - 9 = 0

Step-by-step explanation:

x²/2 - 3/4 = 5x/6

=  x²/2 - 3/4 - 5x/6 = 0

= x²/2 - 5x/6 - 3/4 = 0

(Multiply and divide the equation by 6)

= (6(x²/2 - 5x/6 - 3/4))/6 = 0

( cross multiply the 6 which is in denominator )

= 6(x²/2 - 5x/6 - 3/4) = 0 *6

= 6x²/2 -(6) (5x/6) - (6)(3/4) = 0

= 3x² - 5x - 9/2 = 0

(Again,Multiply and divide the equation by 2)

= (2(3x² - 5x - 9/2))/2 = 0

( And cross multiply the 2 which is in denominator )

= (2)3x² - (2)5x - (2)9/2 = 0*2

= 6x² - 10x - 9 = 0     {Equation is in standard form!!}

Hope, you got it:-))

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