Math, asked by shimpi1193, 7 months ago

2x²+x-6=0 solve the equation​

Answers

Answered by Yogini1234
3

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Answered by Anonymous
1

Answer:

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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