Using Newtons Method Solve the equation ex x 10Solutiongiv

Using Newton\'s Method Solve the equation e^x + x = 10.

given e^x+x =10

f(x)= e^x+x-10

f \'(x)=e^x+1

initial estimate x₁= 2

x_n+1=x_n-(f(x_n))/(f \'(x_n))

x₂=2-[(e²+2-10)/(e²+1)]=2.072826298199

x₂=2.072826298199-[(e^{2.072826298199}+2.072826298199-10)/(e^{2.072826298199}+1)]=2.070582144443

x₃=2.070579904983

x₄=2.070579904980

so solution is x=2.07058

$Using Newton\'s Method Solve the equation e^x + x = 10.Solutiongiven ex+x =10 f(x)= ex+x-10 f \'(x)=ex+1 initial estimate x1= 2 xn+1=xn-(f(xn))/(f \'(xn)) x2=2$

Using Newtons Method Solve the equation ex x 10Solutiongiv

Solution

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