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What is quadratic formula with definition class 10th

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Answered by Anonymous
16

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\Large\fbox{\color{purple}{QUESTION}}

WHAT IS QUADRATIC FORMULA ?

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\Large\fbox{\color{purple}{ SOLUTION }}

★ QUADRATIC FORMULA ★

quadratic formula is a formula of finding the zeroes of a quadratic equation

\Large\mathfrak\orange{\implies \:x =   \frac{ - b +  \sqrt{ {b}^{2}  - 4ac} }{2a} }

\Large\mathfrak\red {\implies \:x =   \frac{ - b - \sqrt{ {b}^{2}  - 4ac} }{2a} }

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\bf\Large\red{ THANKS \: FOR \: YOUR}

\bf\Large\red{ QUESTION \: HOPE \: IT  }

\bf\Large\red{ HELPS  }

\Large\mathcal\green{FOLLOW \: ME}

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Answered by cutebrainlyteacher72
11

thank you for support me

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➡➡Candidates who are pursuing in CBSE Class 10 are advised to revise the notes from this post. With the help of Notes, candidates can plan their Strategy for particular weaker section of the subject and study hard. So, go ahead and check the Important Notes for CBSE Class 10 Maths Quadratic Equations from this article.

➡➡QUADRATIC EQUATIONS

➡➡The polynomial of degree two is called quadratic polynomial and equation corresponding to a quadratic polynomial P(x) is called a quadratic equation in variable x.

➡➡Thus, P(x) = ax2 + bx + c =0, a ≠ 0, a, b, c ∈ R is known as the standard form of quadratic equation.

➡➡There are two types of quadratic equation.

(i) Complete quadratic equation : The equation ax2 + bx + c 0 where a ≠ 0, b ≠ 0,c ≠ 0

(ii) Pure quadratic equation : An equation in the form of ax2 = 0, a ≠ 0, b = 0, c = 0

➡➡ZERO OF A QUADRATIC POLYNOMIAL

➡The value of x for which the polynomial becomes zero is called zero of a polynomial

➡For instance,

➡➡1 is zero of the polynomial x2 — 2x + 1 because it become zero at x = 1.

➡➡SOLUTION OF A QUADRATIC EQUATION BY

➡➡FACTORISATION

A real number x is called a root of the quadratic equation ax2 + bx + c =0, a 0 if aα2 + bα + c =0.In this case, we say x = α is a solution of the quadratic equation.

NOTE:

1. The zeroes of the quadratic polynomial ax2 + bx + c and the roots of the quadratic equation ax2 + bx + c = 0 are the same.

2. Roots of quadratic equation ax2 + bx + c =0 can be found by factorizing it into two linear factors and equating each factor to zero.

SOLUTION OF A QUADRATIC EQUATION BY COMPLETING THE SQUARE

By adding and subtracting a suitable constant, we club the x2 and x terms in the quadratic equation so that they become complete square, and solve for x.

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