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x^2-3x+10=20

Please help I thought it was X=2,5 but can you show me the steps Thank you

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Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
5.0 5.0 (6 lesson ratings) (6)
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x^2-3x+10=20
x^2-3x+10-20=0
x^2-3x-10=0
(x-5)(x+2)=0
x-5=0
x=5
x+2=0
x=-2
Shelly J. | Excellent Maths Tutoring for academic successExcellent Maths Tutoring for academic su...
4.9 4.9 (217 lesson ratings) (217)
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Hi Roseland,
 
x²-3x+10=20
 
x²-3x+10-20=0
 
x²-3x-10=0
 
x²-5x+2x-10=0
 
x(x-5)+2(x-5)=0
 
(x+2)(x-5)=0
 
x+2=0 or x-5=0
 
x=-2 or x=5
 
Check:
 
x=-2
 
(-2)²-3(-2)+10=4+6+10=20=20
 
x=5
 
(5)²-3(5)+10=25-15+10=20=20