Home> Questions>Q 352
Next
Answered

AcedStudy Latest Questions

godwin_ibrahim
  • 0
Tyro
Asked: 2020-11-18T20:35:52+00:00 In:

Solve the equation (3a-2)(5a-4)=(3a-2)^{2}

  • 0

Solve the equation (3a-2)(5a-4)=(3a-2)^{2}

quadratic equation

You must login to add an answer.

Need An Account,

1 Answer

  2. Sengemegz
    Best Answer
    Moderator

    (3a-2)(5a-4)=(3a-2)^{2}
    (3a-2)(5a-4)=(3a-2)(3a-2)
    15a^{2}-12a-10a+8=9a^{2}-6a-6a+4
    15a^{2}-9a^{2}-22a+12a+8-4=0
    6a^{2}-10a+4=0
    sum=-10
    product=6\times 4=24
    using factorization method
    \Rightarrow 6a^{2}-6a-4a+4=0
    \Rightarrow 6a(a-1)-4(a-1)=0
    \Rightarrow (a-1)(6a-4)=0
    either a-1=0 \therefore a=1
    or 6a-4=0 \therefore a=\dfrac{2}{3}

Related Questions