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Exercise 3.15

1. Graph the following quadratic equations and state their nature of solutions.

(i) *x*2 − 9*x* + 20 = 0

(ii) *x*2 − 4*x* + 4 = 0

(iii) *x*2 + *x* + 7 = 0

(iv) *x*2 − 9 = 0

(v) *x*2 − 6*x* + 9 = 0

(vi) (2*x* − 3)(*x* + 2) = 0

2. Draw the graph of *y* = *x*2 −4 and hence solve *x*2 − *x* −12 = 0

3. Draw the graph of *y* = *x*2 + *x* and hence solve *x*2 + 1 = 0

4. Draw the graph of *y* = *x*2 + 3*x* + 2 and use it to solve *x*2 + 2*x* + 1 = 0

5. Draw the graph of *y* = *x*2 + 3*x* − 4 and hence use it to solve *x*2 + 3*x* − 4 = 0

6. Draw the graph of *y* = *x*2 − 5*x* − 6 and hence solve *x*2 − 5*x* − 14 = 0

7. Draw the graph of *y* = 2*x*2 − 3*x* − 5 and hence solve 2*x*2 − 4*x* − 6 = 0

8. Draw the graph of *y* = (*x* − 1)(*x* + 3) and hence solve *x* 2 − *x* − 6 = 0

1.(i) Real and unequal roots (ii) Real and equal roots (iii) No real roots

(iv) Real and unequal roots (v) Real and equal roots (vi) Real and unequal roots

2. –3, 4

3. No real roots

4. -1

5. -4 , 1

6. -2 ,7

7. –1, 3

8. –2, 3

Tags : Problem Questions with Answer, Solution | Mathematics , 10th Mathematics : UNIT 3 : Algebra

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10th Mathematics : UNIT 3 : Algebra : Exercise 3.15: Quadratic Graphs | Problem Questions with Answer, Solution | Mathematics

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