Question

Pls solve these
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Answer 1

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☆ QUADRATIC EQUATION ☆

5. Zeros of the polynomial

x^2 - 3 = 0

x^2 = 3

x = root3. or. x = - root 3

8. x + 6/x = 7

Multiplying by x

x^2 + 6 = 7x

x^2 - 7x + 6 = 0

x^2 - 6x - x + 6 = 0

x ( x - 6 ) - 1 ( x - 6 ) = 0

( x - 6 ) ( x - 1 ) = 0

( x - 6 ) = 0. or. ( x - 1 ) = 0

x = 6. or. x = 1

9. Let the breadth of rectangle be x

So the lenght of rectangle = x + 2

Area of rectangle = length × breadth

120 = x ( x + 2 )

x^2 + 2x = 120

x^2 + 2x - 120 = 0

x^2 + 12x - 10x - 120 = 0

x ( x + 12 ) - 10 ( x + 12 ) = 0

( x + 12 ) ( x - 10 ) = 0

( x + 12 ) = 0. or. ( x - 10 ) = 0

x = - 12. or. x = 10

Negative value of breadth is not possible so the breadth is 10 units

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