Name:                                    Date:

Solve the following quadratic equations:

Question 1: $9s^2+7s=2s-15s^2+14$	Question 2: $74z^2-62z=-3z+11z^2-10$
Question 3: ${\Large\frac{-95c-25}{7c-5}}=3c-3$	Question 4: $(w-5)^2+(2w-11)^2=(2w-9)^2$
Question 5: ${\Large\frac{-112t-47}{2t-3}}=9t-3$	Question 6: $(a-3)^2+(2a-4)^2=(3a-11)^2$
Question 7: $-{\Large\frac{12}{y-2}}-{\Large\frac{1}{y-1}}=12$	Question 8: $(n+6)^2+(3n+21)^2=(4n+21)^2$
Question 9: ${\Large\frac{-2u+45}{5u-8}}=2u-3$	Question 10: ${\Large\frac{48j+35}{3j+5}}=6j+3$
Question 11: ${\Large\frac{20}{d}}+{\Large\frac{7}{d+1}}=10$	Question 12: $-{\Large\frac{132}{p+2}}+{\Large\frac{255}{p+3}}=20$
Question 13: $6e^2-59e=-6e-6e^2-56$	Question 14: $59q^2+26q=11q+5q^2+25$
Question 15: $(v-4)^2+(v-3)^2=(v-2)^2$	Question 16: $-{\Large\frac{49}{b+1}}+{\Large\frac{120}{b+2}}=15$

Answers

Question 1: $(8s+7)(3s-2)=0$ $\implies s=-{\Large\frac{7}{8}} , s={\Large\frac{2}{3}}$	Question 2: $(9z-2)(7z-5)=0$ $\implies z={\Large\frac{2}{9}} , z={\Large\frac{5}{7}}$
Question 3: $(7c+8)(3c+5)=0$ $\implies c=-{\Large\frac{8}{7}} , c=-{\Large\frac{5}{3}}$	Question 4: $(w-5)(w-13)=0$ $\implies w=5 , w=13$
Question 5: $(2t+7)(9t+8)=0$ $\implies t=-{\Large\frac{7}{2}} , t=-{\Large\frac{8}{9}}$	Question 6: $4(a-3)(a-8)=0$ $\implies a=3 , a=8$
Question 7: $(3y-2)(4y-5)=0$ $\implies y={\Large\frac{2}{3}} , y={\Large\frac{5}{4}}$	Question 8: $6(n+6)(n-1)=0$ $\implies n=-6 , n=1$
Question 9: $(5u+3)(2u-7)=0$ $\implies u=-{\Large\frac{3}{5}} , u={\Large\frac{7}{2}}$	Question 10: $(3j-4)(6j+5)=0$ $\implies j={\Large\frac{4}{3}} , j=-{\Large\frac{5}{6}}$
Question 11: $(2d-5)(5d+4)=0$ $\implies d={\Large\frac{5}{2}} , d=-{\Large\frac{4}{5}}$	Question 12: $(4p-3)(5p-2)=0$ $\implies p={\Large\frac{3}{4}} , p={\Large\frac{2}{5}}$
Question 13: $(3e-8)(4e-7)=0$ $\implies e={\Large\frac{8}{3}} , e={\Large\frac{7}{4}}$	Question 14: $(6q+5)(9q-5)=0$ $\implies q=-{\Large\frac{5}{6}} , q={\Large\frac{5}{9}}$
Question 15: $(v-7)(v-3)=0$ $\implies v=7 , v=3$	Question 16: $(5b-2)(3b-4)=0$ $\implies b={\Large\frac{2}{5}} , b={\Large\frac{4}{3}}$