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Write the discriminant of the quadratic equation (x + 5)2 = 2 (5x − 3). - Mathematics

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Question

Write the discriminant of the quadratic equation (x + 5)2 = 2 (5x − 3).

Sum

Solution

Given the quadratic equation is (x + 5)2 = 2 (5x − 3).

⇒ x2 +25 +10x =10x -6

⇒ x2 + 31 = 0

⇒ x2 +0x +31 = 0

So, the discriminant will be

D =b2 -4ac

= 02 - 4 × 1 × 31= -124

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