Solve system of equations for x + y: -4x + 9y = -11 & -3x + 7y =-9
1 answer:
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The solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3
<h3>What is a quadratic equation?</h3>Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have a quadratic equation:
x² + 2x - 2 = 0
x² + 2x + 1 - 1 - 2 = 0
(x + 1)² - 3 = 0
(x + 1)² = 3
x + 1 = ± √3
x = -1 ± √3
Thus, the solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3
Learn more about quadratic equations here:
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Answer:
15 years , 12 years , 8 years.
Step-by-step explanation:
Given:
John is 3 years older than Jim.
Jim is 4 years less than twice David’s age.
Ages of three boys add up to 35.
Question asked:
How old are the three boys?
Solution:
Let age of David =
Let age of Jim =
Then age of John will be =
As Jim is 4 years less than twice David’s age
Equation will be ,
Multiplying both side by 2
= (let equation 1 )
As ages of three boys add up to 35.
Equation will be,
=
Subtracting both side by 3
=
= (let equation 2 )
subtracting equation 1 and 2,we get
=
=
=
=
dividing both side by 5
(David ages)
Then ( age of Jim)
=
=
Then age of John will be,
=
Thus, age of John = 15 years
Age of Jim = 12 years
Age of David = 8 years