Complete the equation so that it has solutions of –5 and 7
x2 + __ x +__ = 0

is the equation of solution -5,7.

Step-by-step explanation:

Given : solutions of  equation  are –5 and 7.

To find : x² + __ x +__ = 0 complete the equation .

Solution : We have given that solutions of equation are -5, 7.

Standard form of quadratic equation  .

Its factors as  (x -α) (x- β)

Where ,  p = −(α + β)  and q = αβ.

So, roots are ( x- (-5)) (x-7)

p = -( -5+7) and q =(-5)(7).

p = -2  and q = -35.

On substituting p and q in equation

.

.

Therefore, is the equation of solution -5,7.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

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step-by-step explanation: