Solve √2x²+ 7x +5√2 = 0
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Given: quadratic equation √2x²+ 7x +5√2 = 0
To find: Solve the equation
Solution: We can solve the given quadratic equation by the method of factorization in which we will split the middle terms into two expressions in such a way that all the expressions of the equation will form factors.
So we can split the middle term as
√2x²+ 2x + 5x +5√2 = 0
on taking common terms outside we will get the equation as
x√2( x+√2) +5( x+√2)= 0
(x+√2)(x√2+5)=0
which can be reduced as
x= -√2, -5/√2
Therefore, the factors of the given equation will be x= -√2, -5/√2.
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