If 5x + x² > 100, then x is not

Correct result:

x =  0

#### Solution:

$5x+x^2-100=0 \ \\ \ \\ 5x+x^2-100=0 \ \\ x^2 +5x -100=0 \ \\ \ \\ a=1; b=5; c=-100 \ \\ D=b^2 - 4ac=5^2 - 4\cdot 1 \cdot (-100)=425 \ \\ D>0 \ \\ \ \\ x_{1,2}=\dfrac{ -b \pm \sqrt{ D } }{ 2a }=\dfrac{ -5 \pm \sqrt{ 425 } }{ 2 }=\dfrac{ -5 \pm 5 \sqrt{ 17 } }{ 2 } \ \\ x_{1,2}=-2.5 \pm 10.307764064 \ \\ x_{1}=7.80776406404 \ \\ x_{2}=-12.807764064 \ \\ \ \\ \text{ Factored form of the equation: } \ \\ (x -7.80776406404) (x +12.807764064)=0 \ \\ x>x_{1} \ \\ x=x

Checkout calculation with our calculator of quadratic equations.

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 1 comment:
Math student
x not in interval <-12.807764064; 7.80776406404>

Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

## Next similar math problems:

• Roots
Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
• Equation
Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
• Solve 3
Solve quadratic equation: (6n+1) (4n-1) = 3n2
• Discriminant
Determine the discriminant of the equation: ?
Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
• Reciprocal equation 2
Solve this equation: x + 5/x - 6 = 4/11
• Variation equation
Solve combinatorics equation: V(2, x+8)=72
• Variable
Find variable P: PP plus P x P plus P = 160
• Tubes
Iron tubes in the warehouse are stored in layers so that each tube top layer fit into the gaps of the lower layer. How many layers are needed to deposit 100 tubes if top layer has 9 tubes? How many tubes are in bottom layer of tubes?
Quadratic equation ? has roots x1 = -26 and x2 = -86. Calculate the coefficients b and c.
• Equation with abs value
How many solutions has the equation ? in the real numbers?
• Equation 23
Find value of unknown x in equation: x+3/x+1=5 (problem finding x)
• Square root 2
If the square root of 3m2 +22 and -x = 0, and x=7, what is m?
• Evaluation of expressions
If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
• The product
The product of a number plus that number and its inverse is two and one-half. What is the inverse of this number
• Cinema 4
In cinema are 1656 seats and in the last row are 105 seats , in each next row 3 seats less. How many are the total rows in cinema?
• Ball game
Richard, Denis and Denise together scored 932 goals. Denis scored 4 goals over Denise but Denis scored 24 goals less than Richard. Determine the number of goals for each player.