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Question
Complete the following activity to find the value of discriminant for quadratic equation 4x2 – 5x + 3 = 0.
Activity: 4x2 – 5x + 3 = 0
a = 4, b = ______, c = 3
b2 – 4ac = (–5)2 – (______) × 4 × 3
= ( ______ ) – 48
b2 – 4ac = ______
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Solution
4x2 – 5x + 3 = 0
a = 4, b = –5, c = 3
b2 – 4ac = (–5)2 – 4 × 4 × 3
= 25 – 48
∴ b2 – 4ac = −23
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