dighat samikaran chapter4-10 class math

dighat samikaran 10th class-chapter 4

किसी द्विघात समीकरण  (quadratic equation) के दो (अलग होना आवश्यक नही) हल होते हैं जिन्हे द्विघात समीकरण के मूल या हल कह्ते हैं जिन्हे समी- ${\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}},}$ के द्वारा दिया जाता है जहां चिन्ह ± यह दर्शाता है कि

${\displaystyle x_{+}={\frac {-b+{\sqrt {b^{2}-4ac}}}{2a}}}$

और

${\displaystyle \ x_{-}={\frac {-b-{\sqrt {b^{2}-4ac}}}{2a}}}$

दो हल हैं।

For a quadratic equation ax²+bx+c = 0, the sum of its roots = –b/a and the product of its roots = c/a. Aquadratic equation may be expressed as a product of two binomials.

Which is the quadratic formula?

In Sal's completing the square vid, he takes the exact same equation (ax^2+bx+c = 0) and he completes the square, to end up isolating x and forming the equation into the quadratic formula. In other words, the quadratic formula is simply just ax^2+bx+c = 0 in terms of x.

What is a example of a quadratic equation?

Examples of Quadratic Equation. A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

How do you solve a quadratic equation?

To solve a quadratic equation by factoring,

1. Put all terms on one side of the equal sign, leaving zero on the other side.
2. Factor.
3. Set each factor equal to zero.
4. Solve each of these equations.
5. Check by inserting your answer in the original equation.

What are the different ways to solve quadratic equations?

There are several methods you can use to solve a quadratic equation:

• Factoring.
• Completing the Square.
• Quadratic Formula.
• Graphing.

What is the quadratic formula used for in real life?

There are many ways to solve it, here we will factor it using the "Find two numbers that multiply to give a×c, and add to give b" method in Factoring Quadratics: a×c = −15, and b = −14. The "t = −0.2" is a negative time, impossible in our case.

Who created the quadratic formula?

With a purely geometric approach Pythagoras and Euclid created a general procedure to find solutions of the quadratic equation. In his work Arithmetica, theGreek mathematician Diophantus solved the quadratic equation, but giving only one root, even when both roots were positive.

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