Find the nature of roots of the quadratic equation √2x² + 7x + 5√2 = 0
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Step-by-step explanation:
√(2) X + 7x + 5√2 = 0
= √(2)x + 5x + 2x + 5√2
= x(√2 x + 5) + √2(√2x + 5)
= (√2x + 5)(x + √2)
Roots of this equation are the values for which = (√2x + 5)(x + √2) = 0
Therefore, (√2x + 5)= 0 or (x + √2)=0
i.e., x = -5/√2 or x = -√2
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