Name:                                    Date:

Solve the following quadratic equations:

Question 1: $(g+4)^2+(3g+15)^2=(4g+13)^2$	Question 2: $-{\Large\frac{10}{f}}+{\Large\frac{45}{f+1}}=12$
Question 3: ${\Large\frac{48q+66}{4q+3}}=6q+1$	Question 4: $(v-4)^2+(2v-9)^2=(2v-7)^2$
Question 5: ${\Large\frac{-87b-58}{5b-6}}=3b-1$	Question 6: $29j^2-47j=-4j+5j^2-18$
Question 7: $-{\Large\frac{45}{w-2}}+{\Large\frac{7}{w-1}}=8$	Question 8: ${\Large\frac{58y+32}{9y-4}}=4y+1$
Question 9: $(s+6)^2+(2s+14)^2=(3s+16)^2$	Question 10: $28p^2+52p=2p+12p^2+21$
Question 11: $(u+6)^2+(u+7)^2=(u+8)^2$	Question 12: $-{\Large\frac{49}{h+1}}+{\Large\frac{108}{h+2}}=10$
Question 13: $-{\Large\frac{154}{a+2}}+{\Large\frac{285}{a+3}}=20$	Question 14: $28r^2-92r=-5r-26r^2-35$
Question 15: ${\Large\frac{72n+3}{3n+7}}=7n+1$	Question 16: $19t^2+21t=2t-17t^2+6$

Answers

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