Question 526347: Could someone please show me step by step how to Write a quadratic equation in the variable x having the given numbers as solutions. Type the eqyation in standard form, ax^2+bx+c=0. solution -√5,6√5
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Write a quadratic equation in the variable x having the given numbers as solutions. Type the eqyation in standard form, ax^2+bx+c=0. solution -√5,6√5
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Note: If "a" is a solution, x-a is a factor.
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Your problem:
y = (x+sqrt(5))(x-6sqrt(5))
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y = x^2 +(sqrt(5)-6sqrt(5))x -6*5
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y = x^2 + (sqrt(5)-6sqrt(5))x -30
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Cheers,
Stan H.
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