The roots are 1 +√7 and 1 -√7.
<h3>What is Quadratic equation?</h3>
A quadratic equation in the variable x is an equation of the form ax² + bx + c= 0, where a, b, c are real numbers, a≠0
Given equation:
y= x²+2x-6
First,
Half the coefficient of x and add and subtract the square of (b/2)
y= x²+2x-6+(1)²-(1)²
y= x²+2x+(1)² -6 -(1)²
y= (x+1)² -7
Now, equate y=0
(x+1)² -7 =0
(x+1)² = 7
x+1= ±√7
x=1 ±√7
Hence, the roots are 1 +√7 and 1 -√7.
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Answer:
h(2)=6
Step-by-step explanation:
just plug in 2 where you have an x, and you’d have 2 + 6, which equals 6
Answer:
The labor fee is $14.25, each quart of oil costs $2.25.
Step-by-step explanation:
Let $x be thee price of each quart of oil and $y be a flat fee for labor.
1. If the oil change for one car required 5 quarts of oil, then these 5 quarts cost $5x and together with a flat fee for labor it cost $25.50. Thus,
5x+y=25.50.
2. If the oil change for another car required 7 quarts of oil, then these 7 quarts cost $7x and together with a flat fee for labor it cost $30.00. Thus,
7x+y=30.00.
3. Subtract from the second equation the first one, then

Substitute it into the first equation:

The labor fee is $14.25, each quart of oil costs $2.25.