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Vikki [24]
3 years ago
7

Solve for the roots in simplest form using the quadratic formula:4x2 – 12x = -5​

Mathematics
2 answers:
Art [367]3 years ago
7 0

Answer:

x=2.5&.5

Step-by-step explanation:

The quadratic formula is (-b+or-sqrt(b^2-4ac)/2a

12+or-sqrt((-12^2)-4(4)(5))

12+or-sqrt(144-80)

12+or-sqrt(64)

(12+8)/8 and (12-8)/8

x=2.5 and x=.5

Rudiy273 years ago
6 0

Answer: x=\frac{5}{2},\:x=\frac{1}{2} or x=2.5,\:x=0.5

Step-by-step explanation:

4x^2-12x=-5

\mathrm{Add\:}5\mathrm{\:to\:both\:sides}

4x^2-12x+5=-5+5

\mathrm{Simplify}

4x^2-12x+5=0

Solve with Quadratic Formula

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

a=4,\:b=-12,\:c=5:\quad x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}}{2\cdot \:4}

\frac{-\left(-12\right)+\sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}}{2\cdot \:4}

\mathrm{Apply\:rule}\:-\left(-a\right)=a

\frac{12+\sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}}{2\cdot \:4}

12+\sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}=12+\sqrt{64}

\sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}=\sqrt{64}

\sqrt{64}=8

=\frac{12+8}{8}

=\frac{20}{8}

=\frac{5}{2}

x=\frac{5}{2},\:x=\frac{1}{2}

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