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(C1-2.6) Name:
Homework Questions 6 - Sketching Graphs and using the Discriminant
Calculate the value of the Discriminant and hence state the number of real roots
1. $x^{2}+7 x+3=0$
2. $x^{2}+x+7=0$
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3. $3 x^{2}-2 x-1=0$
4. $x^{2}-20 x+100=0$
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5. $4 x^{2}+5 x-2=0$
6. $x^{2}=-11 x-3$
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7. For what values of P will the roots of $p x^{2}-2 x+5=0$ be real?
8. Find the range of values for q for which the equation $2 x^{2}-8 x-q=0$ has 2 real roots?
9. For what values of y will the roots of $y x^{2}-2 x-5=0$ be equal?
10. Sketch the graph of $y=x^{2}-2 x-8$ after first finding all the points of intersection and the value of the Discriminant