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Question
how many real solutions does $2a^2 - 5a + 5 = 0$ have? 2 0 1
Step1: Identify quadratic coefficients
For $2a^2 -5a +5=0$, $a=2$, $b=-5$, $c=5$
Step2: Calculate discriminant
$\Delta = b^2 - 4ac = (-5)^2 - 4(2)(5)$
Step3: Evaluate discriminant value
$\Delta = 25 - 40 = -15$
Step4: Analyze discriminant sign
Since $\Delta <0$, no real solutions exist.
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