Question

x^2+4x-5=0

Solve ..

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Answer 1

Answer:

x=1 and -9

Step-by-step explanation:

x²+4x-5=0

By middle term splitting:-

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What is middle term splitting??

It means to multiply the constant term with the coefficient of x² such that its product is the sum or difference of the coefficient of x.

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Here , we need such two numbers whose sum or difference is + 4 and product is -10

But middle term splitting is not possible so we can do it by quadratic method....

Here, put the values of a b and c and find D....

a = 1 { Cofficient of x²}

b= 4 { Cofficient of x}

c= -5 { Constant}

D = -b + 4ac

D = -4+4(1)(-5)

D = -4-20

D = -25

Now, we need to find x

x = -b ± √D

x = -4±√25

x = -4±5

When it is +5

x = -4+5

x = 1

When it is -5

x = -4-5

x = -9

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You can directly solve it by

x= -b ± √(4ac)

x = -4 ±√{4(1)(-5)}

x = -4±√(-25)

x= -4±5

When x is +5

x = 1

When -5

x = -9

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Hope it helps....