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Show that the equation 2(a^2+b^2)x^2+2(a...

Show that the equation `2(a^2+b^2)x^2+2(a+b)x+1=0` has no real roots when `a!=b`

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The given equation is `2(a^(2)+b^(2))x^(2)+2(a+b)x+1=0.`
`:." "D=4(a+b)^(2)-8(a^(2)+b^(2))`
`=-4(a^(2)+b^(2)-2ab)=-4(a-b)^(2)lt0," when "a-bne0.`
So, the given equation has no real roots, when `aneb.`
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RS AGGARWAL-QUADRATIC EQUATIONS -Test Yourself
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