Find whether the equations x2 – 4x + 1.5 = 0 and 2x2 + 3 = 8x are consistent or not.
Answers
Given : x² - 4x + 1.5 = 0 and 2x² - 8x + 3 = 0
To find : Equations are consistent or not
Solution:
x² - 4x + 1.5 = 0
2x² + 3 = 8x
=> 2x² - 8x + 3 = 0
Dividing by 2 on both sides
=> x² - 4x + 1.5 = 0
Hence both equations are same so both Equations have same solution
System of equations is called consistent if there is at least one set of values that satisfies each equation in the system
x = (4 ± √10)/2 for both Equations
=> Hence Equations are consistent
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Answer:
X^2 -4x +1.5 = 0 ; 2x^2 -8 +3= 0
1/2 = 4/8 = 1 .5/3
1/2 = 1/2 = 1/2
A1/ A2 = b1/b2 = C1/C2
So , it is consistent ....
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