Page 17 - 10-Math-1 QUADRATIC EQUATIONS

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3. Fill in the blanks Version 1.1
(i) The standard form of the quadratic equation is________.
(ii) The number of methods to solve a quadratic equation are
________.
(iii) The name of the method to derive a quadratic formula is ________.
(iv) The solution of the equation ax2 + bx + c = 0, a m 0 is ________.
(v) The solution set of 25x2 - 1 = 0 is ________.
(vi) An equation of the form 22x - 3.2x + 5 = 0 is called a/an ________
equation.
(vii) The solution set of the equation x2 - 9 = 0 is ________.
(viii) An equation of the type x4 + x3 + x2 + x + 1 = 0 called a/an
________ equation.
(ix) A root of an equation, which do not satisfy the equation is called
________ root.
(x) An equation involving impression of the variable under ________
is called radical equation.

SUMMARY

• An equation which contains the square of the unknown (variable)

quantity, but no higher power, is called a quadratic equation or

an equation of the second degree.

• A second degree equation in one variable x, ax2 + bx + c = 0

where a m 0 and a, b, c are real numbers, is called the general

or standard form of a quadratic equation.

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•

• An equation involving expression under the radical sign is called

a radical equation.

• Quadratic formula for ax2 + bx + c = 0, a m 0 is

• Any quadratic equation is solved by the following three methods.

(i) Factorization (ii) Completing square

(iii) Quadratic formula

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