Roots

Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate:

5x2+9x+q=05x 2 +9x + q = 0


Result

q =  4.05
x =  -0.9

Solution:

D=0=>D2=0 D2=b24aq=0 q=9245=4.05 5x2+9x+4.05=0D=0 => D^2=0 \ \\ D^2=b^2-4aq=0 \ \\ q= \dfrac{ 9^2}{4 \cdot 5 } = 4.05 \ \\ 5x ^2 +9x +4.05 = 0
x=925=0.9x = \dfrac{ -9}{ 2 \cdot 5} = -0.9



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 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Quadratic equation
    kvadrat_2 Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
  2. Equation
    calculator_2 Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
  3. Discriminant
    Quadratic_equation_discriminant Determine the discriminant of the equation: ?
  4. Variations 4/2
    pantagram_1 Determine the number of items when the count of variations of fourth class without repeating is 600 times larger than the count of variations of second class without repetition.
  5. Equation with abs value
    abs_graph How many solutions has the equation ? in the real numbers?
  6. Combinations
    trezor_1 How many elements can form six times more combinations fourth class than combination of the second class?
  7. Solve 3
    eq2_4 Solve quadratic equation: (6n+1) (4n-1) = 3n2
  8. Combinations
    math_2 From how many elements we can create 990 combinations 2nd class without repeating?
  9. Quadratic function 2
    parabola1 Which of the points belong function f:y= 2x2- 3x + 1 : A(-2, 15) B (3,10) C (1,4)
  10. Variable
    eq2_12 Find variable P: PP plus P x P plus P = 160
  11. Algebra
    parabol_3 X+y=5, find xy (find the product of x and y if x+y = 5)
  12. Expressions 3
    parabola2_1 If k(x+6)= 4x2 + 20, what is k(10)=?
  13. Evaluation of expressions
    eq222_10 If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
  14. 2nd class combinations
    color_circle From how many elements you can create 4560 combinations of the second class?
  15. Median and modus
    dice_3 Radka made 50 throws with a dice. The table saw fit individual dice's wall frequency: Wall Number: 1 2 3 4 5 6 frequency: 8 7 5 11 6 13 Calculate the modus and median of the wall numbers that Radka fell.
  16. Theorem prove
    thales_1 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. Sequence 3
    75 Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105.