Answer:
three boys to 1 girl
Step-by-step explanation:
a
Answer:
sqrt3[sqrt3+2sqrt12]=sqrt3[sqrt3+4sqrt3] = sqrt3[5sqrt3= 3x5 =15
Answer:
x₂ = 7.9156
Step-by-step explanation:
Given the function ln(x)=10-x with initial value x₀ = 9, we are to find the second approximation value x₂ using the Newton's method. According to Newtons method xₙ₊₁ = xₙ - f(xₙ)/f'(xₙ)
If f(x) = ln(x)+x-10
f'(x) = 1/x + 1
f(9) = ln9+9-10
f(9) = ln9- 1
f(9) = 2.1972 - 1
f(9) = 1.1972
f'(9) = 1/9 + 1
f'(9) = 10/9
f'(9) = 1.1111
x₁ = x₀ - f(x₀)/f'(x₀)
x₁ = 9 - 1.1972/1.1111
x₁ = 9 - 1.0775
x₁ = 7.9225
x₂ = x₁ - f(x₁)/f'(x₁)
x₂ = 7.9225 - f(7.9225)/f'(7.9225)
f(7.9225) = ln7.9225 + 7.9225 -10
f(7.9225) = 2.0697 + 7.9225 -10
f(7.9225) = 0.0078
f'(7.9225) = 1/7.9225 + 1
f'(7.9225) = 0.1262+1
f'(7.9225) = 1.1262
x₂ = 7.9225 - 0.0078/1.1262
x₂ = 7.9225 - 0.006926
x₂ = 7.9156
<em>Hence the approximate value of x₂ is 7.9156</em>
Step-by-step explanation:
2x^2+7x-3=0
by doing splitting the middle term we get/ <u>using quadratic eq we get-</u>
Let's solve your equation step-by-step.
2x2+7x−3=0
For this equation: a=2, b=7, c=-3
2x2+7x+−3=0
Step 1: Use quadratic formula with a=2, b=7, c=-3.
x=
−b±√b2−4ac
2a
x=
−(7)±√(7)2−4(2)(−3)
2(2)
x=
−7±√73
/4
x=
−7
4
+
1
4
√73 or x=
−7
4
+
−1
4
√73
Answer:
x=
−7
4
+
1
4
√73 or x=
−7
4
+
−1
4
√73
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