Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.
Where the techniques of Maths
are explained in simple terms.
Quadratics - the Quadratic formula.
Test Yourself 1.
- Algebra & Number
- Calculus
- Financial Maths
- Functions & Quadratics
- Geometry
- Measurement
- Networks & Graphs
- Probability & Statistics
- Trigonometry
- Maths & beyond
- Index
Answer the following questions by using the quadratic formula:
| Integer or fractional (rational) results. | 1. Solve for x:
x2 + 14x + 45 = 0. |
2. Solve for v:
v2 + 13v + 40 = 0. |
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| 3. Solve for a:
a(3a + 1) = 10. HintExpand first |
4. Solve for x:
2(x - 1)2 = 3x - 4. |
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| 5. Solve for y:
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6. Solve for m:
2m2 - 531m - 20700 = 0. |
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| Report answer to 2 decimal places: | 7. Solve for y correct to 2 decimal places:
y2 + y = 3. |
8. Solve for m correct to 2 decimal places:
m2 - 6m + 2 = 0. |
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| 9. Solve for t:
2t2 = 3t + 8 |
10. Solve for x:
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| Report answer as a surd: | 11. Solve for x:
5x2 - 8x + 2 = 0. |
12. Solve for m:
m2 - 10m + 23 = 0 |
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| 13. Solve for p:
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14. Solve for x:
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| Show no solutions. | 15. Solve for w: w2 + w + 1 = 0 | 16. 2t2 = 4t - 3 | |
17. Solve for c: |
18. Solve for m: |
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| Harder questions. | 19. Use the following equation to find an equation for a in terms of b:
a2 - 5ab + 6b2 = 0. HintJust use the formula in the usual way and solve for a. |
20. Use the following equation to express k in terms of m:
3k2 + 5km - 2m2 = 0. |
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