nature of roots of the equation x 2 2x 4 0 Transcript Ex 4 3 2 Find the roots of the quadratic equation using quadratic formula iv 2x2 x 4 0 2x2 x 4 0 Comparing equation with ax2 bx c 0 So a 2 b 1 c 4 We know that D b2 4ac D 12 4
We can write b b 2 4ac 2a and b b 2 4ac 2a Here a b and c are real and rational Hence the nature of the roots and of equation ax 2 bx c 0 depends on the quantity or expression b 2 4ac under the square Ax 2 bx c 0 where a b and c are real numbers such that a 0 and x is a variable The number of roots of a polynomial equation is equal to its degree So a quadratic equation has two roots
nature of roots of the equation x 2 2x 4 0
nature of roots of the equation x 2 2x 4 0
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What Is The Nature Of Roots Of X 4x 5 0 Brainly in
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For a given quadratic equation ax 2 bx c 0 the values of x that satisfy the equation are known as its roots i e they are the values of the variable x which satisfies the equation The roots of a quadratic function are the x coordinates To examine the roots of a quadratic equation let us consider the general form a quadratic equation ax 2 bx c 0 Here a b and c are real and rational numbers To know the nature of the roots of a quadratic equation we will be
We use the formula b b 4ac2 x 2a for the roots of the quadratic equation of the form ax2 bx c 0 where a 0 The expression under the radical sign of the quadratic formula plays The discriminant is b 2 4ac which comes from the quadratic formula and we can use this to find the nature of the roots Roots can occur in a parabola in 3 different ways as shown in
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Solved Example 1 What can you say about the roots of the equation x 2 2x 4 0 Solution The discriminant is D 2 2 4 left 1 right left 4 right 20 0 Thus the The Discriminant formula D b2 4ac determines the nature of roots in a quadratic equation If D 0 there are two distinct real roots if D 0 there s one real root equal roots and if D 0 there are no real roots only
Solve Using the Quadratic Formula x 2 2x 4 0 Step 1 Use the quadratic formula to find the solutions Step 2 Substitute the values and into the quadratic formula and solve for Step 3 Method to check the nature of root is 1 take out discriminant 2 analyse the discriminant if D 0 then real and unequal roots D 0 then real and equal roots D
Find The Roots Of 2x 2 X 4 0 By Quadratic Formula
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nature of roots of the equation x 2 2x 4 0 - For a given quadratic equation ax 2 bx c 0 the values of x that satisfy the equation are known as its roots i e they are the values of the variable x which satisfies the equation The roots of a quadratic function are the x coordinates