# Quadratic equation + expression of a variable from the formula - math problems

#### Number of problems found: 133

- Completing square

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

Solve goniometric equation: sin^{4}θ - 1/cos^{2}θ=cos^{2}θ - 2 - Expression with powers

If x-1/x=5, find the value of x^{4}+1/x^{4} - Equation 23

Find value of unknown x in equation: x+3/x+1=5 (problem finding x) - Solve equation

solve equation: ? - Evaluation of expressions

If a^{2}-3a+1=0, find (i)a^{2}+1/a^{2}(ii) a^{3}+1/a^{3} - Non linear eqs

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

Find the number x, which if it increases by 2, then its square increases by 21 percent. - Hyperbola equation

Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10] - Trapezoid 15

Area of trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1 and height h is x+4 - Expressions 3

If k(x+6)= 4x^{2}+ 20, what is k(10)=? - The sum

The sum of the squares of two immediately following natural numbers is 1201. Find these numbers. - 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. - Algebra

X+y=5, find xy (find the product of x and y if x+y = 5) - Sphere equation

Obtain the equation of sphere its centre on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1). - Equation of circle 2

Find the equation of a circle which touches the axis of y at a distance 4 from the origin and cuts off an intercept of length 6 on the axis x. - Reciprocal value

How do I calculate a number x that is 9 greater than its reciprocal (1/x)? - 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. - Trapezoid

Area of trapezoid is 135 cm^{2}. Sides a, c and height h are in a ratio 6:4:3. How long are a,c and h? Make calculation... - Square root 2

If the square root of 3m^{2}+22 and -x = 0, and x=7, what is m?

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Looking for help with calculating roots of a quadratic equation? Quadratic Equations Problems. Expression of a variable from the formula - math word problems.