. A train travels a distance of 480 km at a uniform speed. If the speed had been 8
km/h less, then it would have taken 3 hours more to cover the same distance.
What is the speed of the train? [3]
2. Find the roots of quadratic equations by factorisation: [3]
(i) √2 x2 + 7x + 5√2=0
3. Find the values of k for each of the following quadratic equations, so that they
have two equal roots: kx (x – 2) + 6 = 0. [2]
4. Find the value of p, for which one root of the quadratic equation px2 – 14x + 8
= 0 is 6 times the other. [2]
5. Solve for x: [1/(x + 1)] + [3/(5x + 1)] = 5/(x + 4); x ≠ - 1, - ⅕, - 4. [3]
6. Solve the following quadratic equation for x: [3]
4x2 + 4bx – (a2 – b2) = 0
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A train travels a distance of 480 km at a uniform speed. If the speed had been 8
km/h less, then it would have taken 3 hours more to cover the same distance.
What is the speed of the train? [3]
2. Find the roots of quadratic equations by factorisation: [3]
(i) √2 x2 + 7x + 5√2=0
3. Find the values of k for each of the following quadratic equations, so that they
have two equal roots: kx (x – 2) + 6 = 0. [2]
4. Find the value of p, for which one root of the quadratic equation px2 – 14x + 8
= 0 is 6 times the other. [2]
5. Solve for x: [1/(x + 1)] + [3/(5x + 1)] = 5/(x + 4); x ≠ - 1, - ⅕, - 4. [3]
6. Solve the following quadratic equation for x: [3]
4x2 + 4bx – (a2 – b2) = 0
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