root, inmathematics, a solution to an equation, usually expressed as a number or an algebraic formula. In the 9th century, Arab writers usually called one of the equal factors of a numberjadhr(“root”), and theirmedievalEuropean translators used the Latin wordradix(from which derives the ad...
Iftanxtany=aandx+y=2bshow thattanxandtanyare the roots of the equationz2−(1−a)tan2b⋅z+a=0 View Solution If(1+cos2x)sin2x+3(1+(tanx)tan.x2)sinx=4then the value oftanxcan be equal to View Solution ∫[1+tanx.tan(x+α)]dxis equal to ...
Step1: On comparing the given equation with the general form of the equationax2+bx+c, we get a=k,b=-2k,c=6 We know that for the real and equal roots of any quadratic equation(Discriminant)D=0 b2−4ac=0 (Formula used: )
Step 6: Set the discriminant greater than or equal to zeroNow we need to solve:−24y2−108y+872≥0 Step 7: Divide by -4 to simplify (reversing the inequality)Dividing by -4 (and reversing the inequality):6y2+27y−218≤0 Step 8: Find the roots of the quadratic equationUsing ...
The discriminant is equal to the expression under the square root in formula (5) multiplied by −1:D = q − p²÷4(6) Depending on the sign of the discriminant (6) the equations (1) and (2) have: D < 0: Two real solitions, i.e. two real roots; ...
Anyaegbunam, A.J. (2008) Simplified formulae for the evaluation of all the exact roots (real and complex ) of the general cubic, Nigerian Journal of Sci. and Tech., University of Nigeria, Nsukka , vol. 27, No.1, March,50-56
Write the formula =quad_roots(A2,B2,C2) in the D2 cell as highlighted in below image −Step 5Press the “Enter” tab to evaluate the real roots of the quadratic equation. Hence, we successfully invoke and test the function in the D2 cell. The resultant value is highlighted in below...
What is meant by zero polynomial? Zero polynomial happens when every coefficient of the polynomial is equal to zero. The zero polynomial has an undefined degree.Polynomial Expression A polynomial expression is a combination of terms using addition or subtraction. Each term has a coefficient, and th...
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Principle of Square Roots For any nonnegative real number k, if x 2 = k, then x = or x =. - x x 2 = 9 3 = like x 2 – 9 = 0 (x + 3)(x – 3) = 0 {± 3 } x 2 = 9 x x 2 = = like x 2 – 100 = 0 (x + 10)(x – 10) = 0 {± 10 } x 2 = 10...