Question

Jazmine is y years old. Her mother is 3 less that 5 times as old as she is.

The product of their ages is 350. Write and solve an equation by
applying the quadratic formula in order to figure out the age of Jazmine
and her mother. Round their ages to the nearest year.​

Answer 1

Explanation:

Let Jasmine be y years old. (given)

Her mother's age= 5y-3. (given)

Product of there ages=350. (given)

Step 1: Simplify both sides of the equation.

5y2−3y=350

Step 2: Subtract 350 from both sides.

5y2−3y−350=350−350

5y2−3y−350=0

For this equation: a=5, b=-3, c=-350

5y2+−3y+−350=0

Step 3: Use quadratic formula with a=5, b=-3, c=-350.

y=−b±√b2−4ac÷2a

y= −(−3)±√(−3)2−4(5)(−350)÷2(5)

y=3±√7009÷10

y=3/10+1/10√7009 or y=3/10+−1/10√7009

Hope it helps you