Question

decide the value given against each of quadratic equation are the root of equations or not. x^2+3x-4=0 ; x=1,-2,-3​

Answer 1

Decide the Value given against each of Quadratic Equation are the Root of Equations or not. :

${x}^{2} + 3x - 4 = 0 \\ x = 1 \\ x = - 2 \\ x = - 3$

Step-by-step explanation:

Let the Polynomial be g (p) -

$g(p) = {x}^{2} + 3x - 4 \\ at \: x = 1 \\ g(1) = (1) {}^{2} + 3(1) - 4 \\ = 1 + 3 - 4 \\ = 4 - 4 = 0$

$g(- 2) = ( - 2) {}^{2} + 3( - 2) - 4 \\ = 4+ ( - 6) - 4 \\ = 4- 6 - 4 \\ = 0 - 6 = ( - 6)$

$g( - 3) = ( - 3) {}^{2} + 3( - 3) - 4 \\ = 9 + ( - 9) - 4 \\ = 9 - 9 - 4 \\ = 0 - 4 = ( - 4)$

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