Question

(x+3)²(65)=x(6)Solve using quadric formula​

Answer 1

Step 1: Simplify both sides of the equation.

• 65x²+390x+585=6x

Step 2: Subtract 6x from both sides.

• 65x²+390x+585−6x=6x−6x
• 65x²+384x+585=0

For this equation: a=65, b=384, c=585

• 65x²+384x+585=0

Step 3: Use quadratic formula with a=65, b=384, c=585

• x=−b±√b2−4ac/2a
• x=−(384)±√(384)2−4(65)(585)/
• 2(65)
• x=−384±√−4644/130

Therefore, There are no real solutions.

Answer 2

Answer:

Use the commutative property to reorder the terms ==> 65(x + 3)^2 = x × 6 ==> 6(x + 3)^2 = 6x

Use (a + b)^2 = a^2 + 2ab + b^2 to expand the expression ==> 65(x^2 + 6x + 9) = 6x

Distribute 65 through the parentheses ==> 65^2 + 390x + 585 = 6x

Move the variable to the left-hand side and change its sign ==> 6x^2 + 390x + 585 - 6x = 0

its sign ==> 6x^2 + 390x + 585 - 6x = 0Collect like terms ==> 65x^2 + 384x + 585 = 0

its sign ==> 6x^2 + 390x + 585 - 6x = 0Collect like terms ==> 65x^2 + 384x + 585 = 0Solve the quadratic equation ==> (that part and onward is in the attachment)