Algebra
Calculus
Trigonometry
Matrix
Question
Solve the system of equations
s∈/R
Alternative Form
No real solution
Evaluate
{2s−3s=−9−s×3s−9−s×3s=6
Calculate
More Steps
Evaluate
2s−3s=−9−s×3s
Subtract the terms
More Steps
Evaluate
2s−3s
Collect like terms by calculating the sum or difference of their coefficients
(2−3)s
Subtract the numbers
−s
−s=−9−s×3s
Multiply
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Evaluate
s×3s
Multiply the terms
s2×3
Use the commutative property to reorder the terms
3s2
−s=−9−3s2
Move the expression to the left side
−s−(−9−3s2)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−s+9+3s2=0
Rewrite in standard form
3s2−s+9=0
Substitute a=3,b=−1 and c=9 into the quadratic formula s=2a−b±b2−4ac
s=2×31±(−1)2−4×3×9
Simplify the expression
s=61±(−1)2−4×3×9
Simplify the expression
More Steps
Evaluate
(−1)2−4×3×9
Evaluate the power
1−4×3×9
Multiply the terms
1−108
Subtract the numbers
−107
s=61±−107
The expression is undefined in the set of real numbers
s∈/R
{s∈/R−9−s×3s=6
Calculate
More Steps
Evaluate
−9−s×3s=6
Multiply
More Steps
Evaluate
s×3s
Multiply the terms
s2×3
Use the commutative property to reorder the terms
3s2
−9−3s2=6
Since the left-hand side is always negative,and the right-hand side is always positive,the statement is false for any value of s
s∈/R
{s∈/Rs∈/R
Solution
s∈/R
Alternative Form
No real solution
Show Solution
