SOLUTION: 1- {{{5a^2-6a+1=0}}} 2- {{{2x-x^2=-24}}} 3- x^+3x=0 4- {{{6x(x-12)=0}}} 5- {{{4y^2+9-12y}}}

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Question 675969: 1-
2-
3- x^+3x=0
4-
5-
Answer by khv_maths(12)   (Show Source): You can put this solution on YOUR website!
1-
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: a=1,a=0.2.
  • Graphical form: Equation was fully solved.
  • Text form: 5a^2-6a+1=0 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 5a^2-6a+1=0 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Equation highlight_red%28+5%2Aa%5E2-6%2Aa%2B1=0+%29 is a quadratic equation: 5*a^2-6*a+1 =0, and has solutions 1,0.2
It becomes .
Result:
This is an equation! Solutions: a=1,a=0.2.

Universal Simplifier and Solver


Done!

2- put it into
so,
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-4,x=6.
  • Graphical form: Equation was fully solved.
  • Text form: -x^2+2x+24=0 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( -x^2+2x+24=0 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Equation highlight_red%28+-x%5E2%2B2%2Ax%2B24=0+%29 is a quadratic equation: -x^2+2*x+24 =0, and has solutions -4,6
It becomes .
Result:
This is an equation! Solutions: x=-4,x=6.

Universal Simplifier and Solver


Done!


3- x^+3x=0
??? x power what???

4- put it into
=
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=12,x=0.
  • Graphical form: Equation was fully solved.
  • Text form: 6x^2-72x=0 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 6x^2-72x=0 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Equation highlight_red%28+6%2Ax%5E2-72%2Ax=0+%29 is a quadratic equation: 6*x^2-72*x =0, and has solutions 12,0
It becomes .
Result:
This is an equation! Solutions: x=12,x=0.

Universal Simplifier and Solver


Done!


5-
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: y=1.5,y=1.5.
  • Graphical form: Equation was fully solved.
  • Text form: 4y^2+9-12y=0 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 4y^2+9-12y=0 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved 9 to the right of expression
It becomes .
Look at .
Equation highlight_red%28+4%2Ay%5E2-12%2Ay%2B9=0+%29 is a quadratic equation: 4*y^2-12*y+9 =0, and has solutions 1.5,1.5
It becomes .
Result:
This is an equation! Solutions: y=1.5,y=1.5.

Universal Simplifier and Solver


Done!
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