Name:                                    Date:

Solve the following quadratic equations:

Question 1: $-{\Large\frac{5}{c+1}}+{\Large\frac{48}{c+2}}=15$	Question 2: $(j-5)^2+(2j-8)^2=(3j-17)^2$
Question 3: $7e^2+29e=4e-35e^2+28$	Question 4: ${\Large\frac{165u-8}{3u+8}}=9u+3$
Question 5: ${\Large\frac{-38q+47}{4q-9}}=3q-3$	Question 6: $(h-4)^2+(3h-9)^2=(4h-19)^2$
Question 7: $-{\Large\frac{132}{a-2}}+{\Large\frac{49}{a-1}}=20$	Question 8: ${\Large\frac{40m+72}{8m+3}}=6m+3$
Question 9: $-{\Large\frac{88}{k+2}}+{\Large\frac{165}{k+3}}=12$	Question 10: $(f+1)^2+(2f+1)^2=(2f+3)^2$
Question 11: ${\Large\frac{-120t-48}{2t-5}}=8t-3$	Question 12: $49g^2-58g=-6g+4g^2-15$
Question 13: $5v^2-75v=-8v-9v^2-18$	Question 14: $(s+4)^2+(s+5)^2=(s+6)^2$
Question 15: $27z^2+38z=9z+12z^2+14$	Question 16: ${\Large\frac{15}{w}}-{\Large\frac{9}{w+1}}=8$

Answers

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