Examples with solutions for The Quadratic Formula: Complete the one solution equation

Exercise #1

Solve the following equation:

4x2+24x+36=0 4x^2+24x+36=0

Video Solution

Answer

x=3 x=-3

Exercise #2

Solve the equation

36x2144x+144=0 36x^2-144x+144=0

Video Solution

Answer

x=2 x=2

Exercise #3

Solve for X:

X2+4X+4=0 X^2+4X+4=0

Video Solution

Answer

x=2 x=-2

Exercise #4

Solve the following equation:

4x2+96x576=0 -4x^2+96x-576=0

Video Solution

Answer

x=12 x=12

Exercise #5

Solve the following equation:

81x2+54x9=0 -81x^2+54x-9=0

Video Solution

Answer

x=13 x=\frac{1}{3}

Exercise #6

Solve the following equation:

81x2216+144=0 81x^2-216+144=0

Video Solution

Answer

x=43 x=\frac{4}{3}

Exercise #7

x2+10x=25 x^2+10x=-25

Video Solution

Answer

x=5 x=-5

Exercise #8

16a2+20a+20=520a 16a^2+20a+20=-5-20a

Video Solution

Answer

x=54 x=-\frac{5}{4}

Exercise #9

9y230y=25 9y^2-30y=-25

Video Solution

Answer

y=53 y=\frac{5}{3}

Exercise #10

Solve the following equation:

x2+109x+2581=0 x^2+\frac{10}{9}x+\frac{25}{81}=0

Video Solution

Answer

x=59 x=-\frac{5}{9}

Exercise #11

Solve the following equation:

x29+29x+19=0 \frac{x^2}{9}+\frac{2}{9}x+\frac{1}{9}=0

Video Solution

Answer

x=1 x=-1

Exercise #12

Solve the following equation:

x24+x2+14=0 \frac{x^2}{4}+\frac{x}{2}+\frac{1}{4}=0

Video Solution

Answer

x=1 x=-1

Exercise #13

x210x=16 x^2-10x=-16

Video Solution

Answer

x=2,8 x=2,8

Exercise #14

Solve the following equation:

x24+x+1=0 \frac{x^2}{4}+x+1=0

Video Solution

Answer

x=2 x=-2

Exercise #15

Solve the following equation:

49x2+83x+4=0 \frac{4}{9}x^2+\frac{8}{3}x+4=0

Video Solution

Answer

x=3 x=-3

Exercise #16

Solve the following equation:

x2+x+14=0 x^2+x+\frac{1}{4}=0

Video Solution

Answer

x=12 x=-\frac{1}{2}

Exercise #17

Solve the following equation:

x24+23x+49=0 \frac{x^2}{4}+\frac{2}{3}x+\frac{4}{9}=0

Video Solution

Answer

x=43 x=-\frac{4}{3}

Exercise #18

Solve for y:

y2+4y+2=2 y^2+4y+2=-2

Video Solution

Answer

y=2 y=-2

Exercise #19

Solve the following equation:

(x4)2+3x2=16x+12 (x-4)^2+3x^2=-16x+12

Video Solution

Answer

x=1 x=-1

Exercise #20

Solve the following equation:

(x+3)2=2x+5 (x+3)^2=2x+5

Video Solution

Answer

x=2 x=-2