Question 8:
Solve the following quadratic equation:
4x (x + 4) = 9 + 16x
Solution:
4x(x+4)=9+16x4x2+16x=9+16x 4x2−9=0(2x)2−32=0(2x+3)(2x−3)=02x+3=0 or 2x−3=0 2x=−3 2x=3 x=−32 x=32
Solve the following quadratic equation:
4x (x + 4) = 9 + 16x
Solution:
4x(x+4)=9+16x4x2+16x=9+16x 4x2−9=0(2x)2−32=0(2x+3)(2x−3)=02x+3=0 or 2x−3=0 2x=−3 2x=3 x=−32 x=32
Question 9:
Solve the following quadratic equation:
(x + 2)2 = 2x + 7
Solution:
(x+2)2=2x+7x2+4x+4=2x+7x2−2x−3=0(x+1)(x−3)=0x+1=0 or x−3=0 x=−1 x=3
Solve the following quadratic equation:
(x + 2)2 = 2x + 7
Solution:
(x+2)2=2x+7x2+4x+4=2x+7x2−2x−3=0(x+1)(x−3)=0x+1=0 or x−3=0 x=−1 x=3
Question 10:
Solve the following quadratic equation:
−23x−5=x3x−1
Solution:
−23x−5=x3x−1 −2(3x−1)=x(3x−5) −6x+2=3x2−5x3x2−5x+6x−2=0 3x2+x−2=0 (3x−2)(x+1)=03x−2=0 or x+1=0 3x=2 x=−1 x=23 x=−1
Solve the following quadratic equation:
−23x−5=x3x−1
Solution:
−23x−5=x3x−1 −2(3x−1)=x(3x−5) −6x+2=3x2−5x3x2−5x+6x−2=0 3x2+x−2=0 (3x−2)(x+1)=03x−2=0 or x+1=0 3x=2 x=−1 x=23 x=−1