27. Identify
the linear equations from
expressions,
a)x²+x=2
Answers
Step-by-step explanation:
SOLUTION
TO CHOOSE THE CORRECT OPTION
Identify the algebraic linear equations from the given expressions
(a) \sf{ {x}^{2} + x = 2 \: }x
2
+x=2
(b) 3x + 5 = 11
(c) 5 + 7 = 12
(d) \sf{ x + {y}^{2} = 3 \: }x+y
2
=3
CONCEPT TO BE IMPLEMENTED
LINEAR EQUATION
A linear equation is an algebraic equation consisting of variables and constants and equality sign in which each term has an exponent of one
REASON BEHIND THE NAME
If you plot the solutions of a linear equation in Cartesian Coordinate system the results in a straight line.
EVALUATION
CHECKING FOR OPTION (a)
The given equation is
\sf{ {x}^{2} + x = 2 \: }x
2
+x=2
Here in the equation highest exponent of the variable x is 2
So the equation is not linear equation
So this option is not correct
CHECKING FOR OPTION (b)
The given equation is
\sf{3x + 5 = 11 \: }3x+5=11
Here in the equation highest exponent of the variable x is 1
So the equation is a linear equation
So this option is CORRECT
CHECKING FOR OPTION (c)
The given expression is 5 + 7 = 12
Since the expression does not involve any variable So the expression is not an equation
So this option is not correct
CHECKING FOR OPTION (d)
The given equation is
\sf{ x + {y}^{2} = 3 \: }x+y
2
=3
Here in the equation highest exponent of the variable y is 2
So the equation is not linear equation
So this option is not correct
FINAL ANSWER
Answer of x2+x=2
Step-by-step explanation:
Solution:
x2+x=2
x2+x-2=2-2
x2+x-2=0
(x-1)(x+2)=0
x-1=0 or x+2=2
Ans: X=1 or X=-2