(2) One of the roots of a quadratic equation is 4 - √7. Find the equation,
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Answer:
One of the other root is =4−7
⇒ the other root will be =4+7(because roots are in pairs)
Sum of the roots=4−7+4+7=8
Product of the roots=(4−7)(4+7)=16−7=9
Equation will be
x2−(Sum of the roots)x+(product of roots)=0
⇒x2−8x+9=0 is the required equation.
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