Question: Quadratic equations D1: Solving quadratic equations by formula x= -b + Vb2 - 4ac 2a is the formula for the solution of The proof of

Quadratic equations

D1: Solving quadratic equations by formula x= -b + Vb2 - 4ac 2a is the formula for the solution of The proof of this ax + bx + c = 0 formula is at the end of Section 10 EXAMPLE 48 Q: Use the formula to solve 5x2 - 5x + 1 = 0 Give the answers to 2 d.p. A: 5x2 - 5x + 1=0 ==> a= 5, b=-5, c=1 So, x = 5 + V25 - 4x5x1 = 5+ V25 - 20 = 5+ 15 2x5 10 10 x = 5+15 = 0.72 and x = 5 -V5 =0.28 10 10 Use the formula to solve each equation. Give answers to 2 d.p. 1. x2 + 7 x + 2 =0 2. 6x2 + 7x + 2 =0 3. 2x2 + 6x - 1 =0 4. 2x2 + 6x +3 =0 5. 3x2 - 7x-20 =0 6. 6x2 - 11x - 13 = 0 7. 3x2 + 8x - 6 =0 8. 3x2 - 10x + 3 =0 9. 5x2 - 7x + 2 = 0 10. x2 - 3x - 2 = 0 11. 3x2 - 2x - 5 = 0 12. 2x2 + 5x - 1 = 0 13. 2x2 + 1 1x + 5 = 0 14. 3x2 + 25x + 8 = 0 15. 3x2 + x- 3 =0 16. 6x2 - 11x - 7 =0 17. 3x2 + 4x - 1 = 0 . Check your answers

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