What are the 4 ways to solve a quadratic equation?

What are the 4 ways to solve a quadratic equation?

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.

How do you Factorise quadratics?

Quadratics can be factorised into the form ( x + a ) ( x + b ) . To factorise this quadratic, find two numbers that have a product of -4 and a sum of 0. The factor pairs that make -4 are either − 1 × 4 , 1 × − 4 or − 2 × 2 .

What is 2x²?

Evaluating the Square of a Product Because 2x squared is equivalent to 2x raised to the second power, we can use this rule of exponents to evaluate 2x squared.

What is 3xsquared?

The latter expression can be written 3x 3x = 9×2. Thus, for example if x = 5 then. 3×2 = 3 52 = 3 25 = 75, and. (3x)2 = (3 5)2 = 152 = 225.

How do you find the alpha and beta of a quadratic equation?

α+β=−baandαβ=ca. From these formulas, we can also find the value of the sum of the squares of the roots of a quadratic without actually solving the quadratic.

What is the value of X if (2×2 + 14X + 20)?

2×2+14x+20=0 Two solutions were found : x = -2 x = -5 Step by step solution : Step 1 :Equation at the end of step 1 : (2×2 + 14x) + 20 = 0 Step 2 : Step 3 :Pulling out like terms :

How do you find the perfect square of x^2+bx=c?

In order to complete the square, the equation must first be in the form x^ {2}+bx=c. Divide 14, the coefficient of the x term, by 2 to get 7. Then add the square of 7 to both sides of the equation. This step makes the left hand side of the equation a perfect square.

How do you evaluate X and Y in Algebra calculator?

Algebra Calculator can also evaluate expressions that contain variables x and y. To evaluate an expression containing x and y, enter the expression you want to evaluate, followed by the @ sign and an ordered pair containing your x-value and y-value. Here is an example evaluating the expression xy at the point (3,4): xy @ (3,4) .