Use factoring to solve the quadratic equation.
1) \( 2x^2 + 5x+ 3 = 0 \)
2) \( x^2 + 3x = 10 \)
Use square roots to solve the quadratic equation.
3) \( x^2−22=50 \)
4) \( (x−5)^2+5=30 \)
Use completing the square to solve the quadratic equation.
5) \( x^2+14x+24=0 \)
6) \( 2x^2+20x+34=0 \)
Use the quadratic formula to solve the quadratic equation.
7) \( x^2+8x+10=0 \)
8) \( 2x^2+7x+2=0 \)
Explain which method you would use to solve the quadratic equation. Then solve the quadratic equation.
9) \( 5x^2−25=0 \)
10) \( 3x^2=27 \)
11) \( 4x^2=36x \)
12) \( g^2+5g=-6 \)
13) \( x^2−4x+2=0 \)
14) \( 10p^2+p−3=0 \)
15) \( x^2=14x−49 \)
16) \( x^2+4x=11 \)
17) \( -3x^2+x=-15 \)
18) \( 11x^2−2=2x^2+2 \)
19) \( x^2−12x+35=-2x^2+10x \)
20) \( (x−10)^2=36 \)
Solution Bank
1) \( 2x^2 + 5x+ 3 = 0 \)
2) \( x^2 + 3x = 10 \)
Use square roots to solve the quadratic equation.
3) \( x^2−22=50 \)
4) \( (x−5)^2+5=30 \)
Use completing the square to solve the quadratic equation.
5) \( x^2+14x+24=0 \)
6) \( 2x^2+20x+34=0 \)
Use the quadratic formula to solve the quadratic equation.
7) \( x^2+8x+10=0 \)
8) \( 2x^2+7x+2=0 \)
Explain which method you would use to solve the quadratic equation. Then solve the quadratic equation.
9) \( 5x^2−25=0 \)
10) \( 3x^2=27 \)
11) \( 4x^2=36x \)
12) \( g^2+5g=-6 \)
13) \( x^2−4x+2=0 \)
14) \( 10p^2+p−3=0 \)
15) \( x^2=14x−49 \)
16) \( x^2+4x=11 \)
17) \( -3x^2+x=-15 \)
18) \( 11x^2−2=2x^2+2 \)
19) \( x^2−12x+35=-2x^2+10x \)
20) \( (x−10)^2=36 \)
Solution Bank