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Quadratic Equation Calculator: Are you checking for the best tool that computes the quadratic equation and gives the possible variable values? If yes, this is the right place for you. We are giving the easiest way to solve the quadratic equation using the formula or factors methods. Go through the below sections and check the manual procedure to compute the quadratic equation effortlessly. At this article, you will get both step by step procedure and online tool that gives accurate results in short span of time.
Quadratic Equation is an equation having the highest power 2. Below listed are the simple guidelines that are helpful to you to solve any type of quadratic equation. Have a look at them and use them whenever required.
Question: Solve the quadratic equation x2 - 15x + 56 = 0 by using the quadratic formula?
Given quadratic equation is x2 - 15x + 56 = 0
The standard form of quadratic equation us ax2 + bx + c = 0
In this case, a = 1, b = -15, c = 56
The formula to find the discriminant is D = b2 - 4ac
By substituting the above values:
D = (-15)2 - 4. 1. 56
= 225 - 224
The formula to find roots of equation is
x1 = -b - √D / 2a and x2 = -b + √D / 2a
x1 = -(-15) - √1 / 2.1
= 15 - 1 / 2 = 14/2 = 7
x2 = -(-15) + √1 / 2.1
= 15 + 1 / 2
= 16/2 = 8
x1 = 7, x2 = 8.
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1. What is the standard form of the quadratic equation?
The basic form to represent the quadratic equation is ax2 + bx + c = 0.
Here a, b, c are the constant values and x is a variable.
a should not be equal to zero.
2. What is the quadratic formula to find the square roots of the quadratic equation?
The formula to get the possible roots of quadratic equation is
x1 = (-b + √b2 - 4ac) / 2a
x2 = (-b - √b2 - 4ac) / 2a
b2 - 4ac is called discriminant which reveals the nature of the roots that equation has.
If discriminant = 0, the roots are equal, rational and real.
If discriminant ＞ 0, and also a perfect square, then roots are real, distinct and rational.
If discriminant ＜ 0, but not a perfect square, then roots are real, irrational and distinct.
3. What are the different methods to solve the quadratic equation?
The four different methods to solve any type of quadratic equation are listed here:
4. How do you solve the quadratic equations using the Completing the squares method?
5. Solve x2 - 14x + 45 = 0 by using the factoring method?
Given equation is x2 - 14x + 45 = 0
x2 - 9x - 5x + 45 = 0
x(x-9) - 5(x-9) = 0
(x-5)(x-9) = 0
x1 = 5
x2 = 9