Question

What are the roots of quadratic
egn 2x²+6 = -7x
?
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Answer 1

Answer:

x = 2 or x = -3/2

Step-by-step explanation:

Answer 2

Answer:

-2 and -1.5

Step-by-step explanation:

$2x^2+6=-7x$

$2x^2+7x+6=0$

By splitting the middle term,

$2x^2+4x+3x+6=0$

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

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

$x+2=0\\x=-2$

$2x+3=0\\2x=-3\\x=\frac{-3}{2}\\x=-1.5$

$x=-2,{-1.5}$

∴ The roots of $2x^2+6=-7x$ are -2 and -1.5.