2x²+x-6=0 solve the equation
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3/2 or -2
Step-by-step explanation:
2x²+x-6=0
Factorising the equation, splitting x such that we get -12 after multiplying -6 and 2 & -12 after adding,
2x²+4x-3x-6=0
Putting the common terms together in first two terms and then last two terms,
2x(x+2)-3(x+2)=0
Now taking x+2 as common,
(2x-3)(x+2)=0
Equating each to 0
2x-3=0 (x+2)=0
x=3/2 x=-2
OR simply the steps without explanation are:—
2x²+x-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
x=3/2 & x=-2
Hence, the value of x is 3/2 or -2
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