Answer:
x=15
Step-by-step explanation:
Step 1: Multiply both sides by 2.
Step 2: Simplify both sides of the equation.
6x+18=108
Step 3: Subtract 18 from both sides.
6x+18−18=108−18
6x=90
Step 4: Divide both sides by 6.
x=15
Answer:
all real number
Step-by-step explanation:
since h(x) is polynomial function
Plug it in
7(4) + 8(5) which would be 28 + 40
Answer: 68
Answer:
Step-by-step explanation:
#22
<h3>Given </h3>
- Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
<h3>Solution</h3>
<u>The equation in standard form is:</u>
- x² -4x + 1 = k(x - 4)
- x² - 4x - kx + 1 + 4 = 0
- x² - (k + 4)x + 5 = 0
<u>When the quadratic equation has equal roots its discriminant is zero</u>
- D = 0
- b² - 4ac = 0
- (k + 4)² - 4*5 = 0
- (k + 4)² = 20
- k + 4 = ± √20
- k = - 4 ± √20
- or
- k = -4 ± 2√5
