Question

Show that the quadratic equation 2 x square minus root 5 x + 1 is equal to zero has no real roots

Answer 1

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• 2x² - √5x + 1 = 0
• a = 2
• b = -√5
• c = 1

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• Zeros of the quadratic equation is the value of the variable for which when replaced in the quadratic equations the value for the quadratic equation changes to zero.

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• ax² + bx + c = 0

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• To show that 2x² - √5x + 1 = 0 has no real zeros .

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• Non real roots/ zeros = 0 > D
• D = b² - 4ac

   To prove b ² - 4ac < 0 :

• -√5² - 4(2)(1)
• 5 - 8
• -3 < 0

    Therefore 2x² - √5x + 1 = 0 has no real roots