Question

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below. What are the solutions to the equation? x = –1, 6 x = –6, 1 x = –22, 27 x = –27, 22

Answer 1

*$\bold{\huge{\underline{Correct Answer}}}$*

Topic:- Quardratic EQUATION

Question:- X²+5x-6=0

$\underline{Using splitting method for solving this Equation}$

$\bold{ {x}^{2} + 5x - 6 = 0} \\ \\ \bold{ {x}^{2} + 6x - x - 6 = 0} \\ \\ \bold{x(x + 6) - 1(x + 6) = 0}$

*$\bold{\huge{\underline{Define Factors }}}$*

$\bold{x + 6 = 0} \\ \\ \bold{tansporting} \: \: \\ \\ \bold{x = - 6}$

*$\bold{\huge{\underline{Define other Factors }}}$*

$\bold{x - 1 = 0} \\ \\ \\ \\ \bold{tansporting} \\ \\ \bold{x = 1}$

*$\bold{\huge{\underline{conclusion:- }}}$*

-6 and 1 are the solutions to the equation of x²+5x-6=0

Answer 2

$<b > Ello!!$

Here's your answer

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Given quadratic eqation : x² + 5x - 6 = 0

To find the solutions .

Now ,

x² + 5x - 6 = 0

x² + ( 6 - 1 ) - 6 = 0

x² + 6x - x - 6 = 0

x ( x + 6 ) - 1 ( x + 6 ) = 0

( x + 6 ) ( x - 1 ) = 0

Now ,

Either ,

x + 6 = 0

x = - 6

Or ,

x - 1 = 0

x = 1

•°• x = - 6 , 1

So , the salutations of the equation are - 6 and 1

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Hope it helps!!