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Ne4ueva [31]
3 years ago
15

Solve the following quadratic formula and enter the solutions below from smallest to largest. Round to the nearest tenth if nece

ssary.
Equation: 4x2+8x+7=4

Solution: Answer
and
Mathematics
2 answers:
lutik1710 [3]3 years ago
3 0

Answer:

\:x=-\frac{3}{2},x=-\frac{1}{2}

Step-by-step explanation:

Subtract 4 from both sides:

4x^2+8x+7-4=4-4

Simplify:

4x^2+8x+3=0

Solve with the quadratic formula:

x_{1,\:2}=\frac{-8\pm \sqrt{8^2-4\cdot \:4\cdot \:3}}{2\cdot \:4}

x_{1,\:2}=\frac{-8\pm \:4}{2\cdot \:4}

Separate the solutions:

x_1=\frac{-8+4}{2\cdot \:4},\:x_2=\frac{-8-4}{2\cdot \:4}

The solutions to the quadratic equation are:

\:x=-\frac{3}{2},x=-\frac{1}{2}

alexandr1967 [171]3 years ago
3 0

GIVEN:

  • <u>Equation</u>:— 4x² + 8x + 7 = 4

ANSWER:

On simplifying equation, we get

  • 4x² + 8x + 7 = 4
  • 4x² + 8x + 7 – 4 = 0
  • 4x² + 8x + 3 = 0

Now, We'll split the middle term to get the solution.

So, 4x² + 6x + 2x + 3 = 0

  • 2x(2x + 3) + 1(2x + 3) = 0
  • (2x + 1)(2x + 3) = 0
  • x = – 1/2 ; – 3/2

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