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ivolga24 [154]
3 years ago
6

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.

Mathematics
2 answers:
vampirchik [111]3 years ago
8 0

For this case we have the following polynomial:

The quadratic formula is given by:

Substituting values in the given equation we have:

Rewriting we have:

Therefore, the solutions are given by:

Solution 1:

Solution 2:

Answer:

he solutions to the equation are:

x = –6, 1

Would you mind giving me the brainliest?

Irina-Kira [14]3 years ago
4 0

Answer:

x= -6,1

Step-by-step explanation:

The Given Equation is x^{2} +5x-6 =0   ...............(i)

Now we Know that Quadratic formula is

x = \frac{-b+\sqrt{b^{2}-4ac}}{2a}  ............(ii) and  

x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}   ..............(iii)

In the given equation

a= 1 , b= 5 , c= -6

For the first value of x Putting these in equation (ii) gives

x = \frac{-5+\sqrt{5^{2}-4(1)(-6)}}{2(1)}

x = \frac{-5+\sqrt{49}}{2}

x = \frac{-5+7}{2}

x = \frac{2}{2}

x= 1

so one value of x = 1

Now for the second value we will put the values in eqaution (ii) which gives us

x = \frac{-5-\sqrt{5^{2}-4(1)(-6)}}{2(1)}

x = \frac{-5-\sqrt{49}}{2}

x = \frac{-5-7}{2}

x = \frac{-12}{2}

x= -6

so second value of x = -6

So the solution to equation is x= -6,1

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