QUADRATIC EQUATION

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CBSE CLASS 10: QUADRATIC EQUATION

Checking whether the given equation is Quadratic or not
Solving Quadratic equation by factorization
Solving Quadratic equation using Completing Square Method
Quadratic Equation Formula
Solving Quadratic Equation using Formula
Nature of the Quadratic Equation.
Find the value of k in the Quadratic Equation.

1.Check whether the given is a quadratic equataion or not? (x-2)^2+1 =2x-3

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2.Check whether the given is a quadratic equataion or not? x(x-1)+8 = (x+2)(x-2).

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3. Check whether the given is a quadratic equataion or not? x(2x+3) = x^2 +1.

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4.Check whether the given is a quadratic equataion or not? (x-2)(x+1) =(x-1)(x+3)

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5. Find the roots of the quadratic equation by factorization method. 2x^2-5x+3=0

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6. Find the roots of the quadratic equation by factorization method. 3x^2-2_/6x+2=0

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7.Find the roots of the quadratic equation by factorization method 2x^2 -x +1/8 = 0

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8. Find two consecutive positive integers, sum of whose square is 365.

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9. The altitude of the right triangle is 7 cm less than its base. If the hypotenouse is 13 cm, find the other two sides.

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10. Solve the Quadartic Equation by completing the square method, 2x^2-5x+3 = 0.

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11.Solve the Quadartic Equation by completing the square method, 5x^2 -6x-2=0.

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12. Solve the Quadartic Equation by using formula, 3x^2 -5x +2 = 0.

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13. Solve the Quadartic Equation by using formula, x^2 + 4x + 5 =0.

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14. Solve the Quadartic Equation by using formula,

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15. Find the roots of the following equation, 1/x+4 -1/x-7 = 11/30.

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16.A train travels, 360 Km at uniform speed. If the speed had been 5 km/hr more, it would have taken 1 hour less for the same journey. Find the speed of train.

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17.find the nature of the roots of given equation 2x^2 -3x+5 =0

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18. find the nature of the roots of given equation3x^2 -4_/3x +4 =0

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19. Find the nature of the roots of 2x^2-6x+3=0.

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20.Find the value of k for the given quadratic equation which has two equal roots,
2x^2+kx+3 =0.

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21.Find the value of k for the given quadratic equation which has two equal roots,
kx(x-2) +6 = 0.

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