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katrin2010 [14]
2 years ago
12

Solve the equation by completing the square. Round to the nearest tenth, if necessary. Simplify your solutions and enter them fr

om least to greatest, separated by a comma, if necessary. If there are no real solutions, enter no solutions.
−2x²+10x=−14
Mathematics
1 answer:
Slav-nsk [51]2 years ago
4 0

Answer:

-1.1, 6.1

Step-by-step explanation:

-2X^2+10X+14=0

(-2X^2+10X+14)/-2=0

X^2-5X-7=0

Then use the quadratic formula because you can't factor

Fill in the equations and solve. One should have the plus and the other should have the minus and that's how you get the 2 different answers.

A=1

B=-5

C=-7

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3 years ago
How do you solve (a-3b)(7a-3b)
Anna [14]

Step-by-step explanation:

Simplifying

(7a + 3b)(7a + -3b) = 0

Multiply (7a + 3b) * (7a + -3b)

(7a * (7a + -3b) + 3b * (7a + -3b)) = 0

((7a * 7a + -3b * 7a) + 3b * (7a + -3b)) = 0

Reorder the terms:

((-21ab + 49a2) + 3b * (7a + -3b)) = 0

((-21ab + 49a2) + 3b * (7a + -3b)) = 0

(-21ab + 49a2 + (7a * 3b + -3b * 3b)) = 0

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Reorder the terms:

(-21ab + 21ab + 49a2 + -9b2) = 0

Combine like terms: -21ab + 21ab = 0

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(49a2 + -9b2) = 0

Solving

49a2 + -9b2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '9b2' to each side of the equation.

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49a2 = 0 + 9b2

Remove the zero:

49a2 = 9b2

Divide each side by '49'.

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Simplifying

a2 = 0.1836734694b2

take the square root of each side:

a = {-0.428571429b, 0.428571429b}

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