Solve the equation 2x^{2}-6x=-5

Wribreeminsl

Wribreeminsl

Answered question

2021-04-04

Solve the equation 2x26x=5

Answer & Explanation

SabadisO

SabadisO

Skilled2021-04-06Added 108 answers

Factorize:
2(x23x)=5
Add 4.5 to both sides of the equation:
(2(x23x+2.25)=0.5
Factorize the perfect square trinomial (a2±2ab+b2=(a±b)2):
2(x1.5)2=0.5
Divide both sides of the equation by 2:
(x1.5)2=0.25
Take the square root of both sides of the equation:
x1.5=±0.25=±0.5i
Add 1.5 to both sides of the equation:x=1.5p,0.5i

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