Question

find the roots of 2 x² + 6 = 7x​

Answer 1

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2x²+6 = 7x

=> 2x²-7x+6 = 0

=> 2x²-(4x+3x)+6 = 0

=> 2x²-4x-3x+6 = 0

=> 2x(x-2)-3(x-2) = 0

=> (x-2)(2x-3) = 0

=> either x = 2 or 3/2

Answer 2

Answer:

The roots of the equation 2x²+6=7x are (3/2) & 2.

Step-by-step explanation:

2x²-7x+6=0

2x²+(-4x)+(-3x)+6=0 [Splitting the middle term]

2x(x-2)-3(x-2)=0

(2x-3)(x-2)=0

2x-3=0 , x-2 = 0

x=3/2 , x=2

Hope you understood ! ☺