# Roots and coefficient

In the equation 2x ^ 2 + bx-9 = 0 is one root x1 = -3/2. Determine the second root and the coefficient b.

### Correct answer:

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 a quadratic equation?

Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

#### You need to know the following knowledge to solve this word math problem:

## Related math problems and questions:

- Roots

Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: 5x ² +9x + q = 0 - Equation

Equation -2x^{2}+bx -82 =0 has one root x_{1}= -8. Determine the coefficient b and the second root x_{2}. - Square root 2

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

solve equation: [(a^{2})+3]^{1/2}+ [(a^{2})-3]^{1/2}= 5 - Quadratic function

It is given a quadratic function y = -4x^{2}+5x+c with unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points. - Finite geometric sequence

Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =?, q =? - Non linear eqs

Solve the system of non-linear equations: 3x^{2}-3x-y=-2 -6x^{2}-x-y=-7 - Quadratic equation

Determine the numbers b, c that the numbers x_{1}= -1 and x_{2}= 3 were roots of quadratic equation: -3x ² + b x + c = 0 - Right triangle

Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle. - Completing square

Solve the quadratic equation: m^{2}=4m+20 using completing the square method - Expressions 3

If k(x+6)= 4x² + 20, what is k(10)=? - Square

Suppose the square's sides' length decreases by a 25% decrease in the content area of 28 cm². Determine the side length of the original square. - Unknown number 7

Calculate unknown number whose 12th power when divided by the 9th power get a number 27 times greater than the unknown number. Determine the unknown number. - Equation

Eequation f(x) = 0 has roots x_{1}= 64, x_{2}= 100, x_{3}= 25, x_{4}= 49. How many roots have equation f(x^{2}) = 0 ? - Coefficient

Determine the coefficient of this sequence: 7.2; 2.4; 0.8 - Eq2 equations

For each of the following problems, determine the roots of the equation. Given the roots, sketch the graph and explain how your sketch matches the roots given and the form of the equation: g(x)=36x^{2}-12x+5 h(x)=x^{2}-4x+20 f(x)=4x^{2<} - On a line

On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1].