Square root 2

If the square root of 3m2 +22 and -x = 0, and x=7, what is m?

Result

m1 =  3
m2 =  -3

Solution:

$x = 7 \ \\ \sqrt{ 3m^2 +22 } - x = 0 \ \\ \sqrt{ 3m^2 +22 } - 7 = 0 \ \\ \sqrt{ 3m^2 +22 } = 7 \ \\ \ \\ 3m^2 +22 = 7^2 \ \\ \ \\ 3m^2 -27 = 0 \ \\ \ \\ a = 3; b = 0; c = -27 \ \\ D = b^2 - 4ac = 0^2 - 4\cdot 3 \cdot (-27) = 324 \ \\ D>0 \ \\ \ \\ m_{1,2} = \dfrac{ -b \pm \sqrt{ D } }{ 2a } = \dfrac{ \pm \sqrt{ 324 } }{ 6 } \ \\ m_{1,2} = \dfrac{ \pm 18 }{ 6 } \ \\ m_{1,2} = \pm 3 \ \\ m_{1} = 3 \ \\ m_{2} = -3 \ \\ \ \\ \text{ Factored form of the equation: } \ \\ m_{1}=3 (m -3) (m +3) = 0m_{ 1 } = 3$

Checkout calculation with our calculator of quadratic equations.

$m_{ 2 } = (-3) = -3$

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...):

Be the first to comment!

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:

1. Solve equation
solve equation: ?
Quadratic equation ? has roots x1 = -26 and x2 = -86. Calculate the coefficients b and c.
3. Equation
Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
4. Roots
Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
5. 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
Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
7. Evaluation of expressions
If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
8. Equation 23
Find value of unknown x in equation: x+3/x+1=5 (problem finding x)
9. Reciprocal value
How do I calculate a number x that is 9 greater than its reciprocal (1/x)?
10. Expression with powers
If x-1/x=5, find the value of x4+1/x4
11. Variation equation
Solve combinatorics equation: V(2, x+8)=72
12. Solve 3
Solve quadratic equation: (6n+1) (4n-1) = 3n2
13. Discriminant
Determine the discriminant of the equation: ?
14. Reciprocal equation 2
Solve this equation: x + 5/x - 6 = 4/11
15. 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?
16. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
17. Crystal water
The chemist wanted to check the content of water of crystallization of chromic potassium alum K2SO4 * Cr2 (SO4) 3 * 24 H2O, which was a long time in the laboratory. From 96.8 g of K2SO4 * Cr2 (SO4) 3 * 24 H2O prepared 979 cm3 solution of base. S