Answer :
By the concept of quadratic equation the oldest parent has 49 years and the other is 43 years.
What are quadratic equations?
Any equation that can be written in standard form as where x stands for an unknown, a, b, and c are known values, and a 0 is an algebraic term is known as a quadratic equation. A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0. Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible. A quadratic function is one that has the formula f(x) = ax2 + bx + c, where a, b, and c are all integers with a not equal to zero. A curve known as a parabola makes up the quadratic function graph.
Let's define x = age of parent 1, and y = age of parent 2, and suppose that y is the oldest one.
We know that:
x + y = 92
x × y = 2107
Now we have a system of equations that we need to solve:
The first step is isolate one of the variables in one of the equation, let's isolate x in the first equation:
x = 92 - y
Now we can replace it in the second equation and find the value of y.
x × y = 2107
y × (92 - y) = 2107
92y - y² = 2107
Now we need to solve a quadratic equation!
-y² + 92y - 2107 = 0
so we have two solutions:
y = (-92 + 6)/(-3) = 43
y = (-92 - 6)/(-2) = 49
Because y is the oldest one, we need to take the biggest solution, this is y = 49.
So the oldest parent has 49 years.
If you want to find the age of the other parent, replace this in the first equation:
y + x = 92
49 + x = 92
x = 92 - 49
= 43
To know more about quadratic equations , visit:
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