y^2 + 4y + 4 = 7
Hence
y^2 + 4y -3 = 0
Apply the Quadratic Eq'n
y = { - 4 +/- sqrt[(4)^(2) - 4(1)(-3)]} / 2(1)
y = { -4 +/- sqrt[ 16 + 12]} / 2
y = { 4 +/- sqrt(28)]}/ 2
y = {4 +/- 5.2915....} /2
y = 9.2915/// / 2 = 4.64575....
&
y = -1.2915... / 2 = -0.64575....
-0.82 , -4.82
You convert the equation to the form: ax2 + bx + c = 0, replace the numeric values (a, b, c) in the quadratic formula, and calculate.
For an equation of the form ax² + bx + c = 0 you can find the values of x that will satisfy the equation using the quadratic equation: x = [-b ± √(b² - 4ac)]/2a
In the equation x2 = 6x - 9, all terms must be moved to one side of the equals sign, giving x2 - 6x + 9 = 0. This becomes factorable to (x -3)(x-3).
-- First, write the quadratic formula on the back of your hand:x = 1/2A [ -B ± sqrt(B2 - 4AC) ]-- Then, stare at your equation until it dawns on you thatA = 12B = -77C = -20-- Substitute these values of 'A', 'B', and 'C' into the quadratic formula,evaluate it for the two values of 'x', and the two solutions practicallyfall out on the floor and surrender, on their own.
It is a quadratic equation and the values of x are: -1/2 and 6
In a quadratic equation, the X-values represent the points where the graph of the equation intersects the X-axis, known as the roots or zeroes of the equation. These points indicate the values of X for which the quadratic expression equals zero. When plotted, these X-values help define the shape of the parabola, which can open upwards or downwards depending on the leading coefficient. The X-values also reflect the solutions to the equation when set equal to zero.
Simply learn and use the quadratic equation formula.
It is finding the values of the variable that make the quadratic equation true.
-0.82 , -4.82
-4,3 are the roots of this equation, so for the values for which the sum of roots is 1 & product is -12
It is used to solve quadratic equations that cannot be factored. Usually you would factor a quadratic equation, identify the critical values and solve, but when you cannot factor you utilize the quadratic equation.
Using the discriminant formula for a quadratic equation k has a value of 8/25 or maybe 0.
This is a quadratic equation requiring the values of x to be found. Rearrange the equation in the form of: -3x2-4x+6 = 0 Use the quadratic equation formula to factorise the equation: (-3x+2.69041576)(x+2.23013857) Therefore the values of x are 0.8968052533 or - 2.230138587 An even more accurate answer can be found by using surds instead of decimals.
You are finding the roots or solutions. These are the values of the variable such that the quadratic equation is true. In graphical form, they are the values of the x-coordinates where the graph intersects the x-axis.
Roots, zeroes, and x values are 3 other names for solutions of a quadratic equation.
The solution to a math problem involving a quadratic equation is the values of the variable that make the equation true, typically found using the quadratic formula or factoring.