Question

what are the roots of the quadratic equations 2x2+6=7x?​

Answer 1

Answer:

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Step-by-step explanation:

2x2+6=-7x

2x2+7x+6=0

2x2+(4+3)x+6=0

2x2+4x+3x+6=0

2x(x+2)+3(x+2)=0

(2x+3)(x+2)=0

Roots are x=(-3/2),(-2)

Answer 2

$\sf\huge\bold{Answer:}$

Given :

quadratic equation : 2x²+6=7x

To find :

Roots of 2x²+6=7x

Solution :

• General form of Quadratic equation :

→ax²+bx+c=0

• Given equation :

→2x²+6=7x

→2x²+6-7x=0

→2x²-7x+6=0

Using Split middle term

→2x²-7x+6=0

→2x²-4x-3x+6=0

→2x(x-2)-3(x-2)=0

→(2x-3)(x-2)=0

→2x-3=0 $\:\:\:$→x-2=0

→2x=3$\:\:\:\:\:$→x=2

→x=3/2 & 2

Roots of 2x²+6=7x are 3/2 & 2