Question

The roots of 3x2 + 4x -7 = 0 are​

Answer 1

Step-by-step explanation:

3x² +4x -7 =0

3x² + ( 7-3) x -7 =0

3x² + 7x -3x -7 =0

x ( 3x +7) -1(3x+7) =0

( x-1) ( 3x+7) =0

x =1 ; x = -7/3

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Answer 2

Given :-

• 3x² + 4x - 7 = 0

To FinD :-

• The Roots of the given polynomial

Solution :-

$\implies \: 3 {x}^{2} + 4x - 7 = 0 \\ \\ \implies3 {x}^{2} - 3x + 7x- 7 = 0 \\ \\ \implies3x(x - 1) + 7(x - 1) = 0 \\ \\ \implies(3x + 7)(x - 1) = 0$

Roots are :-

$3x + 7 = 0 \\ \\ \implies3x = - 7 \\ \\ \implies \: x = - \frac{7}{3}$

$\: x - 1 = 0 \\ \\ \implies \: x = 1$

Hence the Roots are 1 and (-7/3)